6(x+1)-9(x-5)=3(4x+2)

Solution for 6(x+1)-9(x-5)=3(4x+2) equation:

Simplifying
6(x + 1) + -9(x + -5) = 3(4x + 2)

Reorder the terms:
6(1 + x) + -9(x + -5) = 3(4x + 2)
(1 * 6 + x * 6) + -9(x + -5) = 3(4x + 2)
(6 + 6x) + -9(x + -5) = 3(4x + 2)

Reorder the terms:
6 + 6x + -9(-5 + x) = 3(4x + 2)
6 + 6x + (-5 * -9 + x * -9) = 3(4x + 2)
6 + 6x + (45 + -9x) = 3(4x + 2)

Reorder the terms:
6 + 45 + 6x + -9x = 3(4x + 2)

Combine like terms: 6 + 45 = 51
51 + 6x + -9x = 3(4x + 2)

Combine like terms: 6x + -9x = -3x
51 + -3x = 3(4x + 2)

Reorder the terms:
51 + -3x = 3(2 + 4x)
51 + -3x = (2 * 3 + 4x * 3)
51 + -3x = (6 + 12x)

Solving
51 + -3x = 6 + 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.
51 + -3x + -12x = 6 + 12x + -12x

Combine like terms: -3x + -12x = -15x
51 + -15x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
51 + -15x = 6 + 0
51 + -15x = 6

Add '-51' to each side of the equation.
51 + -51 + -15x = 6 + -51

Combine like terms: 51 + -51 = 0
0 + -15x = 6 + -51
-15x = 6 + -51

Combine like terms: 6 + -51 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3