Solve for x 3(x-2)-5x=-2(x+2)

$3 (x - 2) - 5 x = - 2 (x + 2)$

Step 1

Simplify $3 (x - 2) - 5 x$ .

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot - 2 - 5 x = - 2 (x + 2)$

Multiply $3$ by $- 2$ .

$3 x - 6 - 5 x = - 2 (x + 2)$

Subtract $5 x$ from $3 x$ .

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

Step 2

Simplify $- 2 (x + 2)$ .

Apply the distributive property.

$- 2 x - 6 = - 2 x - 2 \cdot 2$

Multiply $- 2$ by $2$ .

$- 2 x - 6 = - 2 x - 4$

Step 3

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

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

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

Combine the opposite terms in $- 2 x - 6 + 2 x$ .

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

$0 - 6 = - 4$

Subtract $6$ from $0$ .

$- 6 = - 4$

Step 4

Since $- 6 \neq - 4$ , there are no solutions.

No solution