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

To solve for x in the equation 3 x + 1 0 = 5 ( x - 2 ), we need to isol ate x on one side of the equation . \n First , we can simpl ify the right side of the equation by distribut ing the 5 : \n 3 x + 1 0 = 5 x - 1 0 \n Next , we can sub tract 3 x from both sides of the equation to isol ate x : \n 3 x - 3 x + 1 0 = 5 x - 3 x - 1 0 \n Sim pl ifying the left side of the equation , we get : \n 1 0 = 2 x - 1 0 \n Add ing 1 0 to both sides of the equation , we get : \n 2 0 = 2 x \n Fin ally , we can divide both sides of the equation by 2 to solve for x : \n x = 1 0 \n There fore , the solution to the equation 3 x + 1 0 = 5 ( x - 2 ) is x = 1 0 . </s>