Simplifying
5x + 100 = 3x + 112
Reorder the terms:
100 + 5x = 3x + 112
Reorder the terms:
100 + 5x = 112 + 3x
Solving
100 + 5x = 112 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
100 + 5x + -3x = 112 + 3x + -3x
Combine like terms: 5x + -3x = 2x
100 + 2x = 112 + 3x + -3x
Combine like terms: 3x + -3x = 0
100 + 2x = 112 + 0
100 + 2x = 112
Add '-100' to each side of the equation.
100 + -100 + 2x = 112 + -100
Combine like terms: 100 + -100 = 0
0 + 2x = 112 + -100
2x = 112 + -100
Combine like terms: 112 + -100 = 12
2x = 12
Divide each side by '2'.
x = 6
Simplifying
x = 6
