Solve for x -2x+4=2(4x-3)-3(-8+4x)

$- 2 x + 4 = 2 (4 x - 3) - 3 (- 8 + 4 x)$

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.

$2 (4 x - 3) - 3 (- 8 + 4 x) = - 2 x + 4$

Step 2

Simplify $2 (4 x - 3) - 3 (- 8 + 4 x)$ .

Simplify each term.

Apply the distributive property.

$2 (4 x) + 2 \cdot - 3 - 3 (- 8 + 4 x) = - 2 x + 4$

Multiply $4$ by $2$ .

$8 x + 2 \cdot - 3 - 3 (- 8 + 4 x) = - 2 x + 4$

Multiply $2$ by $- 3$ .

$8 x - 6 - 3 (- 8 + 4 x) = - 2 x + 4$

Apply the distributive property.

$8 x - 6 - 3 \cdot - 8 - 3 (4 x) = - 2 x + 4$

Multiply $- 3$ by $- 8$ .

$8 x - 6 + 24 - 3 (4 x) = - 2 x + 4$

Multiply $4$ by $- 3$ .

$8 x - 6 + 24 - 12 x = - 2 x + 4$

Simplify by adding terms.

Subtract $12 x$ from $8 x$ .

$- 4 x - 6 + 24 = - 2 x + 4$

Add $- 6$ and $24$ .

$- 4 x + 18 = - 2 x + 4$

Step 3

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

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

$- 4 x + 18 + 2 x = 4$

Add $- 4 x$ and $2 x$ .

$- 2 x + 18 = 4$

Step 4

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

Subtract $18$ from both sides of the equation.

$- 2 x = 4 - 18$

Subtract $18$ from $4$ .

$- 2 x = - 14$

Step 5

Divide each term in $- 2 x = - 14$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 14$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 14}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 14}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 14}{- 2}$

Simplify the right side.

Divide $- 14$ by $- 2$ .

$x = 7$

Solve for x -2x+4=2(4x-3)-3(-8+4x)

Related Questions

Support LCMGCF.com by disabling your adblocker.