Solve for b b/(5h)=f+g

$\frac{b}{5 h} = f + g$

Multiply both sides by $5 h$ .

$\frac{b}{5 h} (5 h) = (f + g) (5 h)$

Simplify.

Simplify the left side.

Simplify $\frac{b}{5 h} (5 h)$ .

Rewrite using the commutative property of multiplication.

$5 \frac{b}{5 h} h = (f + g) (5 h)$

Cancel the common factor of $5$ .

Factor $5$ out of $5 h$ .

$5 \frac{b}{5 (h)} h = (f + g) (5 h)$

Cancel the common factor.

$5 \frac{b}{5 h} h = (f + g) (5 h)$

Rewrite the expression.

$\frac{b}{h} h = (f + g) (5 h)$

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{b}{h} h = (f + g) (5 h)$

Rewrite the expression.

$b = (f + g) (5 h)$

Simplify the right side.

Simplify $(f + g) (5 h)$ .

Apply the distributive property.

$b = f (5 h) + g (5 h)$

Reorder.

Rewrite using the commutative property of multiplication.

$b = 5 f h + g (5 h)$

Rewrite using the commutative property of multiplication.

$b = 5 f h + 5 g h$