4(3x-9)-4=4(x-2)+16

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Solution for 4(3x-9)-4=4(x-2)+16 equation: 


Simplifying
4(3x + -9) + -4 = 4(x + -2) + 16

Reorder the terms:
4(-9 + 3x) + -4 = 4(x + -2) + 16
(-9 * 4 + 3x * 4) + -4 = 4(x + -2) + 16
(-36 + 12x) + -4 = 4(x + -2) + 16

Reorder the terms:
-36 + -4 + 12x = 4(x + -2) + 16

Combine like terms: -36 + -4 = -40
-40 + 12x = 4(x + -2) + 16

Reorder the terms:
-40 + 12x = 4(-2 + x) + 16
-40 + 12x = (-2 * 4 + x * 4) + 16
-40 + 12x = (-8 + 4x) + 16

Reorder the terms:
-40 + 12x = -8 + 16 + 4x

Combine like terms: -8 + 16 = 8
-40 + 12x = 8 + 4x

Solving
-40 + 12x = 8 + 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.
-40 + 12x + -4x = 8 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-40 + 8x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 8x = 8 + 0
-40 + 8x = 8

Add '40' to each side of the equation.
-40 + 40 + 8x = 8 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = 8 + 40
8x = 8 + 40

Combine like terms: 8 + 40 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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