4(3x-9)-8=4(x-3)+16

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Solution for 4(3x-9)-8=4(x-3)+16 equation: 


Simplifying
4(3x + -9) + -8 = 4(x + -3) + 16

Reorder the terms:
4(-9 + 3x) + -8 = 4(x + -3) + 16
(-9 * 4 + 3x * 4) + -8 = 4(x + -3) + 16
(-36 + 12x) + -8 = 4(x + -3) + 16

Reorder the terms:
-36 + -8 + 12x = 4(x + -3) + 16

Combine like terms: -36 + -8 = -44
-44 + 12x = 4(x + -3) + 16

Reorder the terms:
-44 + 12x = 4(-3 + x) + 16
-44 + 12x = (-3 * 4 + x * 4) + 16
-44 + 12x = (-12 + 4x) + 16

Reorder the terms:
-44 + 12x = -12 + 16 + 4x

Combine like terms: -12 + 16 = 4
-44 + 12x = 4 + 4x

Solving
-44 + 12x = 4 + 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.
-44 + 12x + -4x = 4 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-44 + 8x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-44 + 8x = 4 + 0
-44 + 8x = 4

Add '44' to each side of the equation.
-44 + 44 + 8x = 4 + 44

Combine like terms: -44 + 44 = 0
0 + 8x = 4 + 44
8x = 4 + 44

Combine like terms: 4 + 44 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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