Question

slove for x
$\frac{x + 1}{2} + \frac{x}{3} = 4 - \frac{2x - 1}{5}$

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