Slove for x (x + 1)/(2) + (x)/(3) = 4 - (2x - 1)/(5)

Question

Slove for x

`(x + 1)/(2) + (x)/(3) = 4 - (2x - 1)/(5)`

Answer 1

15(x + 1) + 10(x) = 30(4) - 6( 2x - 1) multiplied by 30 to clear the denominator

15x + 15 + 10x = 120 -12x + 6 distributed

25x + 15 = 126 - 12x added like terms

37x + 15 = 126 added 12x to both sides

37x = 111 subtracted 15 from both sides

x = 3 divided both sides by 37