Solve for x 4-2(7+8x)=12-6(2x-7)+4x

$4 - 2 (7 + 8 x) = 12 - 6 (2 x - 7) + 4 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$12 - 6 (2 x - 7) + 4 x = 4 - 2 (7 + 8 x)$

Step 2

Simplify $12 - 6 (2 x - 7) + 4 x$ .

Simplify each term.

Apply the distributive property.

$12 - 6 (2 x) - 6 \cdot - 7 + 4 x = 4 - 2 (7 + 8 x)$

Multiply $2$ by $- 6$ .

$12 - 12 x - 6 \cdot - 7 + 4 x = 4 - 2 (7 + 8 x)$

Multiply $- 6$ by $- 7$ .

$12 - 12 x + 42 + 4 x = 4 - 2 (7 + 8 x)$

Simplify by adding terms.

Add $12$ and $42$ .

$- 12 x + 54 + 4 x = 4 - 2 (7 + 8 x)$

Add $- 12 x$ and $4 x$ .

$- 8 x + 54 = 4 - 2 (7 + 8 x)$

Step 3

Simplify $4 - 2 (7 + 8 x)$ .

Simplify each term.

Apply the distributive property.

$- 8 x + 54 = 4 - 2 \cdot 7 - 2 (8 x)$

Multiply $- 2$ by $7$ .

$- 8 x + 54 = 4 - 14 - 2 (8 x)$

Multiply $8$ by $- 2$ .

$- 8 x + 54 = 4 - 14 - 16 x$

Subtract $14$ from $4$ .

$- 8 x + 54 = - 10 - 16 x$

Step 4

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

Add $16 x$ to both sides of the equation.

$- 8 x + 54 + 16 x = - 10$

Add $- 8 x$ and $16 x$ .

$8 x + 54 = - 10$

Step 5

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

Subtract $54$ from both sides of the equation.

$8 x = - 10 - 54$

Subtract $54$ from $- 10$ .

$8 x = - 64$

Step 6

Divide each term in $8 x = - 64$ by $8$ and simplify.

Divide each term in $8 x = - 64$ by $8$ .

$\frac{8 x}{8} = \frac{- 64}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 64}{8}$

Divide $x$ by $1$ .

$x = \frac{- 64}{8}$

Simplify the right side.

Divide $- 64$ by $8$ .

$x = - 8$

Solve for x 4-2(7+8x)=12-6(2x-7)+4x

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