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 (
`(1)/(2)`) of a number (x) is (=) eight (8) less than (-) twice (2 x ) the number (x).


`(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