Question

Solve the equation

1/2(2x + 2)-1/4(3x - 1) = 15
A. X = 1.4
B. X = 6.7
C. X = 10
D. X = 55

Answer 1

D

Explanation:

`(1)/(2)` (2x + 2) -
`(1)/(4)` (3x - 1) = 15

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

2(2x + 2) - (3x - 1) = 60 ← distribute parenthesis and simplify left side

4x + 4 - 3x + 1 = 60

x + 5 = 60 ( subtract 5 from both sides )

x = 55