3(3x-4)+36x=12(3x+4)+108

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Solution for 3(3x-4)+36x=12(3x+4)+108 equation:


Simplifying
3(3x + -4) + 36x = 12(3x + 4) + 108

Reorder the terms:
3(-4 + 3x) + 36x = 12(3x + 4) + 108
(-4 * 3 + 3x * 3) + 36x = 12(3x + 4) + 108
(-12 + 9x) + 36x = 12(3x + 4) + 108

Combine like terms: 9x + 36x = 45x
-12 + 45x = 12(3x + 4) + 108

Reorder the terms:
-12 + 45x = 12(4 + 3x) + 108
-12 + 45x = (4 * 12 + 3x * 12) + 108
-12 + 45x = (48 + 36x) + 108

Reorder the terms:
-12 + 45x = 48 + 108 + 36x

Combine like terms: 48 + 108 = 156
-12 + 45x = 156 + 36x

Solving
-12 + 45x = 156 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-12 + 45x + -36x = 156 + 36x + -36x

Combine like terms: 45x + -36x = 9x
-12 + 9x = 156 + 36x + -36x

Combine like terms: 36x + -36x = 0
-12 + 9x = 156 + 0
-12 + 9x = 156

Add '12' to each side of the equation.
-12 + 12 + 9x = 156 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 156 + 12
9x = 156 + 12

Combine like terms: 156 + 12 = 168
9x = 168

Divide each side by '9'.
x = 18.66666667

Simplifying
x = 18.66666667

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