Solve for x 4(x-2)=2(2x+6)

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

Step 1

Simplify $4 (x - 2)$ .

Start simplifying.

$0 + 0 + 4 (x - 2) = 2 (2 x + 6)$

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $4$ by $- 2$ .

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

Step 2

Simplify $2 (2 x + 6)$ .

Apply the distributive property.

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

Multiply.

Multiply $2$ by $2$ .

$4 x - 8 = 4 x + 2 \cdot 6$

Multiply $2$ by $6$ .

$4 x - 8 = 4 x + 12$

Step 3

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

Subtract $4 x$ from both sides of the equation.

$4 x - 8 - 4 x = 12$

Combine the opposite terms in $4 x - 8 - 4 x$ .

Subtract $4 x$ from $4 x$ .

$0 - 8 = 12$

Subtract $8$ from $0$ .

$- 8 = 12$

Step 4

Since $- 8 \neq 12$ , there are no solutions.

No solution