Question

solve for b: $\frac{1}{2}(4a + 10b)=c$

Explanation:

Step1: Multiply both sides by 2

$2\times\frac{1}{2}(4a + 10b)=2c$
$4a + 10b=2c$

Step2: Subtract 4a from both sides

$4a + 10b-4a=2c - 4a$
$10b=2c - 4a$

Step3: Divide both sides by 10

$b=\frac{2c - 4a}{10}$
Simplify the right - hand side: $b=\frac{c - 2a}{5}$

Answer:

$b=\frac{c - 2a}{5}$