Solve for x -8(4+9x)=7(-2-11x)

$- 8 (4 + 9 x) = 7 (- 2 - 11 x)$

Step 1

Simplify $- 8 (4 + 9 x)$ .

Rewrite.

$0 + 0 - 8 (4 + 9 x) = 7 (- 2 - 11 x)$

Simplify by adding zeros.

$- 8 (4 + 9 x) = 7 (- 2 - 11 x)$

Apply the distributive property.

$- 8 \cdot 4 - 8 (9 x) = 7 (- 2 - 11 x)$

Multiply.

Multiply $- 8$ by $4$ .

$- 32 - 8 (9 x) = 7 (- 2 - 11 x)$

Multiply $9$ by $- 8$ .

$- 32 - 72 x = 7 (- 2 - 11 x)$

Step 2

Simplify $7 (- 2 - 11 x)$ .

Apply the distributive property.

$- 32 - 72 x = 7 \cdot - 2 + 7 (- 11 x)$

Multiply.

Multiply $7$ by $- 2$ .

$- 32 - 72 x = - 14 + 7 (- 11 x)$

Multiply $- 11$ by $7$ .

$- 32 - 72 x = - 14 - 77 x$

Step 3

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

Add $77 x$ to both sides of the equation.

$- 32 - 72 x + 77 x = - 14$

Add $- 72 x$ and $77 x$ .

$- 32 + 5 x = - 14$

Step 4

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

Add $32$ to both sides of the equation.

$5 x = - 14 + 32$

Add $- 14$ and $32$ .

$5 x = 18$

Step 5

Divide each term in $5 x = 18$ by $5$ and simplify.

Divide each term in $5 x = 18$ by $5$ .

$\frac{5 x}{5} = \frac{18}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{18}{5}$

Divide $x$ by $1$ .

$x = \frac{18}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{18}{5}$

Decimal Form:

$x = 3.6$

Mixed Number Form:

$x = 3 \frac{3}{5}$

Solve for x -8(4+9x)=7(-2-11x)

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