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

$6 (x + 4) - (x + 3) = x - 1$

Simplify $6 (x + 4) - (x + 3)$ .

Simplify each term.

Apply the distributive property.

$6 x + 6 \cdot 4 - (x + 3) = x - 1$

Multiply $6$ by $4$ .

$6 x + 24 - (x + 3) = x - 1$

Apply the distributive property.

$6 x + 24 - x - 1 \cdot 3 = x - 1$

Multiply $- 1$ by $3$ .

$6 x + 24 - x - 3 = x - 1$

Simplify by adding terms.

Subtract $x$ from $6 x$ .

$5 x + 24 - 3 = x - 1$

Subtract $3$ from $24$ .

$5 x + 21 = x - 1$

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

Subtract $x$ from both sides of the equation.

$5 x + 21 - x = - 1$

Subtract $x$ from $5 x$ .

$4 x + 21 = - 1$

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

Subtract $21$ from both sides of the equation.

$4 x = - 1 - 21$

Subtract $21$ from $- 1$ .

$4 x = - 22$

Divide each term in $4 x = - 22$ by $4$ and simplify.

Divide each term in $4 x = - 22$ by $4$ .

$\frac{4 x}{4} = \frac{- 22}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 22}{4}$

Divide $x$ by $1$ .

$x = \frac{- 22}{4}$

Simplify the right side.

Cancel the common factor of $- 22$ and $4$ .

Factor $2$ out of $- 22$ .

$x = \frac{2 (- 11)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 5.5$

Mixed Number Form:

$x = - 5 \frac{1}{2}$

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

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