Solve for x 30x-(-x+6)+(-5x+4)=-(5x+6)+(-8+3x)

$30 x - (- x + 6) + (- 5 x + 4) = - (5 x + 6) + (- 8 + 3 x)$

Step 1

Simplify $30 x - (- x + 6) - 5 x + 4$ .

Simplify each term.

Apply the distributive property.

$30 x - - x - 1 \cdot 6 - 5 x + 4 = - (5 x + 6) - 8 + 3 x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$30 x + 1 x - 1 \cdot 6 - 5 x + 4 = - (5 x + 6) - 8 + 3 x$

Multiply $x$ by $1$ .

$30 x + x - 1 \cdot 6 - 5 x + 4 = - (5 x + 6) - 8 + 3 x$

Multiply $- 1$ by $6$ .

$30 x + x - 6 - 5 x + 4 = - (5 x + 6) - 8 + 3 x$

Simplify by adding terms.

Add $30 x$ and $x$ .

$31 x - 6 - 5 x + 4 = - (5 x + 6) - 8 + 3 x$

Subtract $5 x$ from $31 x$ .

$26 x - 6 + 4 = - (5 x + 6) - 8 + 3 x$

Add $- 6$ and $4$ .

$26 x - 2 = - (5 x + 6) - 8 + 3 x$

Step 2

Simplify $- (5 x + 6) - 8 + 3 x$ .

Simplify each term.

Apply the distributive property.

$26 x - 2 = - (5 x) - 1 \cdot 6 - 8 + 3 x$

Multiply $5$ by $- 1$ .

$26 x - 2 = - 5 x - 1 \cdot 6 - 8 + 3 x$

Multiply $- 1$ by $6$ .

$26 x - 2 = - 5 x - 6 - 8 + 3 x$

Simplify by adding terms.

Add $- 5 x$ and $3 x$ .

$26 x - 2 = - 2 x - 6 - 8$

Subtract $8$ from $- 6$ .

$26 x - 2 = - 2 x - 14$

Step 3

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

Add $2 x$ to both sides of the equation.

$26 x - 2 + 2 x = - 14$

Add $26 x$ and $2 x$ .

$28 x - 2 = - 14$

Step 4

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

Add $2$ to both sides of the equation.

$28 x = - 14 + 2$

Add $- 14$ and $2$ .

$28 x = - 12$

Step 5

Divide each term in $28 x = - 12$ by $28$ and simplify.

Divide each term in $28 x = - 12$ by $28$ .

$\frac{28 x}{28} = \frac{- 12}{28}$

Simplify the left side.

Cancel the common factor of $28$ .

Cancel the common factor.

$\frac{28 x}{28} = \frac{- 12}{28}$

Divide $x$ by $1$ .

$x = \frac{- 12}{28}$

Simplify the right side.

Cancel the common factor of $- 12$ and $28$ .

Factor $4$ out of $- 12$ .

$x = \frac{4 (- 3)}{28}$

Cancel the common factors.

Factor $4$ out of $28$ .

$x = \frac{4 \cdot - 3}{4 \cdot 7}$

Cancel the common factor.

$x = \frac{4 \cdot - 3}{4 \cdot 7}$

Rewrite the expression.

$x = \frac{- 3}{7}$

Move the negative in front of the fraction.

$x = - \frac{3}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{3}{7}$

Decimal Form:

$x = - 0.\overline{428571}$

Solve for x 30x-(-x+6)+(-5x+4)=-(5x+6)+(-8+3x)

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