Question

Ten more than half of a number is eight less than twice the number. What is the number?

Answer 1

Ten (10) more than (+) half ($\frac{1}{2}$) of a number (x) is (=) eight (8) less than (-) twice (2 x ) the number (x).

$\frac{1}{2}$x + 10 = 2x - 8   Multiply both sides by 2
x + 20 = 4x - 16   Subtract x from both sides
20 = 3x - 16         Add 16 to both sides
36 = 3x                Divide both sides by 3
12 = x