3(5x+2)=12-4(3-4x)

Solution for 3(5x+2)=12-4(3-4x) equation:

Simplifying
3(5x + 2) = 12 + -4(3 + -4x)

Reorder the terms:
3(2 + 5x) = 12 + -4(3 + -4x)
(2 * 3 + 5x * 3) = 12 + -4(3 + -4x)
(6 + 15x) = 12 + -4(3 + -4x)
6 + 15x = 12 + (3 * -4 + -4x * -4)
6 + 15x = 12 + (-12 + 16x)

Combine like terms: 12 + -12 = 0
6 + 15x = 0 + 16x
6 + 15x = 16x

Solving
6 + 15x = 16x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16x' to each side of the equation.
6 + 15x + -16x = 16x + -16x

Combine like terms: 15x + -16x = -1x
6 + -1x = 16x + -16x

Combine like terms: 16x + -16x = 0
6 + -1x = 0

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6