Solve for x 2x(a-b)=5b

$2 x (a - b) = 5 b$

Divide each term in $2 x (a - b) = 5 b$ by $2 (a - b)$ .

$\frac{2 x (a - b)}{2 (a - b)} = \frac{5 b}{2 (a - b)}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x (a - b)}{2 (a - b)} = \frac{5 b}{2 (a - b)}$

Rewrite the expression.

$\frac{x (a - b)}{a - b} = \frac{5 b}{2 (a - b)}$

Cancel the common factor of $a - b$ .

Cancel the common factor.

$\frac{x (a - b)}{a - b} = \frac{5 b}{2 (a - b)}$

Divide $x$ by $1$ .

$x = \frac{5 b}{2 (a - b)}$