Solve for x (4(x-5))/8=9y

$\frac{4 (x - 5)}{8} = 9 y$

Step 1

Cancel the common factors.

Factor $4$ out of $8$ .

$\frac{4 (x - 5)}{4 \cdot 2} = 9 y$

Cancel the common factor.

$\frac{4 (x - 5)}{4 \cdot 2} = 9 y$

Rewrite the expression.

$\frac{x - 5}{2} = 9 y$

$\frac{x - 5}{2} = 9 y$

Step 2

Multiply both sides by $2$ .

$\frac{x - 5}{2} \cdot 2 = 9 y \cdot 2$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{x - 5}{2} \cdot 2 = 9 y \cdot 2$

Rewrite the expression.

$x - 5 = 9 y \cdot 2$

$x - 5 = 9 y \cdot 2$

$x - 5 = 9 y \cdot 2$

Simplify the right side.

Multiply $2$ by $9$ .

$x - 5 = 18 y$

$x - 5 = 18 y$

$x - 5 = 18 y$

Step 4

Add $5$ to both sides of the equation.

$x = 18 y + 5$

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