12(3x-1)=8(3x+1)+100

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Solution for 12(3x-1)=8(3x+1)+100 equation: 


Simplifying
12(3x + -1) = 8(3x + 1) + 100

Reorder the terms:
12(-1 + 3x) = 8(3x + 1) + 100
(-1 * 12 + 3x * 12) = 8(3x + 1) + 100
(-12 + 36x) = 8(3x + 1) + 100

Reorder the terms:
-12 + 36x = 8(1 + 3x) + 100
-12 + 36x = (1 * 8 + 3x * 8) + 100
-12 + 36x = (8 + 24x) + 100

Reorder the terms:
-12 + 36x = 8 + 100 + 24x

Combine like terms: 8 + 100 = 108
-12 + 36x = 108 + 24x

Solving
-12 + 36x = 108 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-12 + 36x + -24x = 108 + 24x + -24x

Combine like terms: 36x + -24x = 12x
-12 + 12x = 108 + 24x + -24x

Combine like terms: 24x + -24x = 0
-12 + 12x = 108 + 0
-12 + 12x = 108

Add '12' to each side of the equation.
-12 + 12 + 12x = 108 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 108 + 12
12x = 108 + 12

Combine like terms: 108 + 12 = 120
12x = 120

Divide each side by '12'.
x = 10

Simplifying
x = 10

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