Introductory Algebra for College Students (7th Edition)

To solve the equation $2x + 8 = 5x - 3$, we want to isolate the variable $x$ on one side of the equation and the constant on the other. (1) We first subtract $8$ from each side to get rid of the $8$ on the left-hand side: $2x = 5x - 3 - 8$ (2) We then subtract $5x$ on each side to move the $5x$ to the left-hand side. $2x - 5x = - 3 - 8$ (3) We can now combine like terms: $-3x = -11$ (4) You then divide by $-3$ to isolate $x$: $x = \frac{-11}{-3}$ $x = \frac{11}{3}$
To solve the equation $2x + 8 = 5x - 3$, we want to isolate the variable $x$ on one side of the equation and the constant on the other. First we subtract $8$ from each side to get rid of the $8$ on the left-hand side: $2x = 5x - 3 - 8$ We then subtract $5x$ on each side to move the $5x$ to the left-hand side. We can now combine like terms: $2x - 5x = - 3 - 8$ $-3x = -11$ You then divide by $-3$ to isolate $x$: $x = \frac{-11}{-3}$ $x = \frac{11}{3}$