Solve for x in the equation 3x + 10 = 5(x - 2).

First , we need to solve for x in the equation 3 x + 1 0 = 5 ( x - 2 ). \n \n To do this , we can start by isol ating x on one side of the equation and constants on the other side . \n \n Start ing with the left side of the equation , we can dist ribute 5 to the terms that have x : \n \n 5 ( 3 x + 1 0 ) = 5 ( x - 2 ) \n \n Expand ing the brackets : \n \n 1 5 x + 5 0 = 5 x - 1 0 \n \n Com bin ing like terms : \n \n 2 0 x = 4 0 \n \n D ivid ing both sides by 2 0 : \n \n x = 2 \n \n There fore , the solution for x is x = 2 . </s>