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

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

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

Simplify each term.

Apply the distributive property.

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

Multiply $5$ by $- 2$ .

$5 x - 10 - 2 x = 2 (x + 5) + x$

Subtract $2 x$ from $5 x$ .

$3 x - 10 = 2 (x + 5) + x$

Simplify $2 (x + 5) + x$ .

Simplify each term.

Apply the distributive property.

$3 x - 10 = 2 x + 2 \cdot 5 + x$

Multiply $2$ by $5$ .

$3 x - 10 = 2 x + 10 + x$

Add $2 x$ and $x$ .

$3 x - 10 = 3 x + 10$

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

Subtract $3 x$ from both sides of the equation.

$3 x - 10 - 3 x = 10$

Combine the opposite terms in $3 x - 10 - 3 x$ .

Subtract $3 x$ from $3 x$ .

$0 - 10 = 10$

Subtract $10$ from $0$ .

$- 10 = 10$

Since $- 10 \neq 10$ , there are no solutions.

No solution