Simplifying
3(5x + -2) = 4(3x + 6)
Reorder the terms:
3(-2 + 5x) = 4(3x + 6)
(-2 3 + 5x 3) = 4(3x + 6)
(-6 + 15x) = 4(3x + 6)
Reorder the terms:
-6 + 15x = 4(6 + 3x)
-6 + 15x = (6 4 + 3x 4)
-6 + 15x = (24 + 12x)
Solving
-6 + 15x = 24 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
-6 + 15x + -12x = 24 + 12x + -12x
Combine like terms: 15x + -12x = 3x
-6 + 3x = 24 + 12x + -12x
Combine like terms: 12x + -12x = 0
-6 + 3x = 24 + 0
-6 + 3x = 24