Solve for x -(-x+1)-9=6(-3/4x+1/4)+1

$- (- x + 1) - 9 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$

Simplify $- (- x + 1) - 9$ .

Simplify each term.

Apply the distributive property.

$- - x - 1 \cdot 1 - 9 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x - 1 \cdot 1 - 9 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$

Multiply $x$ by $1$ .

$x - 1 \cdot 1 - 9 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$

Multiply $- 1$ by $1$ .

$x - 1 - 9 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$

Subtract $9$ from $- 1$ .

$x - 10 = 6 (- \frac{3}{4} x + \frac{1}{4}) + 1$

Simplify $6 (- \frac{3}{4} x + \frac{1}{4}) + 1$ .

Simplify each term.

Combine $x$ and $\frac{3}{4}$ .

$x - 10 = 6 (- \frac{x \cdot 3}{4} + \frac{1}{4}) + 1$

Move $3$ to the left of $x$ .

$x - 10 = 6 (- \frac{3 x}{4} + \frac{1}{4}) + 1$

Apply the distributive property.

$x - 10 = 6 (- \frac{3 x}{4}) + 6 (\frac{1}{4}) + 1$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{3 x}{4}$ into the numerator.

$x - 10 = 6 \frac{- 3 x}{4} + 6 (\frac{1}{4}) + 1$

Factor $2$ out of $6$ .

$x - 10 = 2 (3) \frac{- 3 x}{4} + 6 (\frac{1}{4}) + 1$

Factor $2$ out of $4$ .

$x - 10 = 2 \cdot 3 \frac{- 3 x}{2 \cdot 2} + 6 (\frac{1}{4}) + 1$

Cancel the common factor.

$x - 10 = 2 \cdot 3 \frac{- 3 x}{2 \cdot 2} + 6 (\frac{1}{4}) + 1$

Rewrite the expression.

$x - 10 = 3 \frac{- 3 x}{2} + 6 (\frac{1}{4}) + 1$

Combine $3$ and $\frac{- 3 x}{2}$ .

$x - 10 = \frac{3 (- 3 x)}{2} + 6 (\frac{1}{4}) + 1$

Multiply $- 3$ by $3$ .

$x - 10 = \frac{- 9 x}{2} + 6 (\frac{1}{4}) + 1$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$x - 10 = \frac{- 9 x}{2} + 2 (3) \frac{1}{4} + 1$

Factor $2$ out of $4$ .

$x - 10 = \frac{- 9 x}{2} + 2 \cdot 3 \frac{1}{2 \cdot 2} + 1$

Cancel the common factor.

$x - 10 = \frac{- 9 x}{2} + 2 \cdot 3 \frac{1}{2 \cdot 2} + 1$

Rewrite the expression.

$x - 10 = \frac{- 9 x}{2} + 3 (\frac{1}{2}) + 1$

Combine $3$ and $\frac{1}{2}$ .

$x - 10 = \frac{- 9 x}{2} + \frac{3}{2} + 1$

Move the negative in front of the fraction.

$x - 10 = - \frac{9 x}{2} + \frac{3}{2} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$x - 10 = - \frac{9 x}{2} + \frac{3}{2} + \frac{2}{2}$

Combine the numerators over the common denominator.

$x - 10 = - \frac{9 x}{2} + \frac{3 + 2}{2}$

Add $3$ and $2$ .

$x - 10 = - \frac{9 x}{2} + \frac{5}{2}$

Move all terms containing $x$ to the left side of the equation.

Add $\frac{9 x}{2}$ to both sides of the equation.

$x - 10 + \frac{9 x}{2} = \frac{5}{2}$

To write $x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x \cdot \frac{2}{2} + \frac{9 x}{2} - 10 = \frac{5}{2}$

Combine $x$ and $\frac{2}{2}$ .

$\frac{x \cdot 2}{2} + \frac{9 x}{2} - 10 = \frac{5}{2}$

Combine the numerators over the common denominator.

$\frac{x \cdot 2 + 9 x}{2} - 10 = \frac{5}{2}$

Add $x \cdot 2$ and $9 x$ .

Reorder $x$ and $2$ .

$\frac{2 \cdot x + 9 x}{2} - 10 = \frac{5}{2}$

Add $2 \cdot x$ and $9 x$ .

$\frac{11 \cdot x}{2} - 10 = \frac{5}{2}$

$\frac{11 x}{2} - 10 = \frac{5}{2}$

Move all terms not containing $x$ to the right side of the equation.

Add $10$ to both sides of the equation.

$\frac{11 x}{2} = \frac{5}{2} + 10$

To write $10$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{11 x}{2} = \frac{5}{2} + 10 \cdot \frac{2}{2}$

Combine $10$ and $\frac{2}{2}$ .

$\frac{11 x}{2} = \frac{5}{2} + \frac{10 \cdot 2}{2}$

Combine the numerators over the common denominator.

$\frac{11 x}{2} = \frac{5 + 10 \cdot 2}{2}$

Simplify the numerator.

Multiply $10$ by $2$ .

$\frac{11 x}{2} = \frac{5 + 20}{2}$

Add $5$ and $20$ .

$\frac{11 x}{2} = \frac{25}{2}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$11 x = 25$

Divide each term in $11 x = 25$ by $11$ and simplify.

Divide each term in $11 x = 25$ by $11$ .

$\frac{11 x}{11} = \frac{25}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} = \frac{25}{11}$

Divide $x$ by $1$ .

$x = \frac{25}{11}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{25}{11}$

Decimal Form:

$x = 2.\overline{27}$

Mixed Number Form:

$x = 2 \frac{3}{11}$

Solve for x -(-x+1)-9=6(-3/4x+1/4)+1

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