Answer
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 $x$:
$x = \frac{-11}{-3}$
$x = \frac{11}{3}$
Work Step by Step
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 $x$:
$x = \frac{-11}{-3}$
$x = \frac{11}{3}$
