4(3x-6)-2=4(x-2)+54

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Solution for 4(3x-6)-2=4(x-2)+54 equation: 


Simplifying
4(3x + -6) + -2 = 4(x + -2) + 54

Reorder the terms:
4(-6 + 3x) + -2 = 4(x + -2) + 54
(-6 * 4 + 3x * 4) + -2 = 4(x + -2) + 54
(-24 + 12x) + -2 = 4(x + -2) + 54

Reorder the terms:
-24 + -2 + 12x = 4(x + -2) + 54

Combine like terms: -24 + -2 = -26
-26 + 12x = 4(x + -2) + 54

Reorder the terms:
-26 + 12x = 4(-2 + x) + 54
-26 + 12x = (-2 * 4 + x * 4) + 54
-26 + 12x = (-8 + 4x) + 54

Reorder the terms:
-26 + 12x = -8 + 54 + 4x

Combine like terms: -8 + 54 = 46
-26 + 12x = 46 + 4x

Solving
-26 + 12x = 46 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-26 + 12x + -4x = 46 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-26 + 8x = 46 + 4x + -4x

Combine like terms: 4x + -4x = 0
-26 + 8x = 46 + 0
-26 + 8x = 46

Add '26' to each side of the equation.
-26 + 26 + 8x = 46 + 26

Combine like terms: -26 + 26 = 0
0 + 8x = 46 + 26
8x = 46 + 26

Combine like terms: 46 + 26 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9

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