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

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

Step 1

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 4$ by $3$ .

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

Multiply $- 2$ by $- 4$ .

$- 12 + 8 x + 2 x = 2 x - 8$

Add $8 x$ and $2 x$ .

$- 12 + 10 x = 2 x - 8$

Step 2

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

Subtract $2 x$ from both sides of the equation.

$- 12 + 10 x - 2 x = - 8$

Subtract $2 x$ from $10 x$ .

$- 12 + 8 x = - 8$

Step 3

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

Add $12$ to both sides of the equation.

$8 x = - 8 + 12$

Add $- 8$ and $12$ .

$8 x = 4$

Step 4

Divide each term in $8 x = 4$ by $8$ and simplify.

Divide each term in $8 x = 4$ by $8$ .

$\frac{8 x}{8} = \frac{4}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{4}{8}$

Divide $x$ by $1$ .

$x = \frac{4}{8}$

Simplify the right side.

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$x = \frac{4 (1)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$x = \frac{4 \cdot 1}{4 \cdot 2}$

Cancel the common factor.

$x = \frac{4 \cdot 1}{4 \cdot 2}$

Rewrite the expression.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.5$

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

Related Questions

Support LCMGCF.com by disabling your adblocker.