4(3x-2)-4=4(x-3)+64

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Solution for 4(3x-2)-4=4(x-3)+64 equation:


Simplifying
4(3x + -2) + -4 = 4(x + -3) + 64

Reorder the terms:
4(-2 + 3x) + -4 = 4(x + -3) + 64
(-2 * 4 + 3x * 4) + -4 = 4(x + -3) + 64
(-8 + 12x) + -4 = 4(x + -3) + 64

Reorder the terms:
-8 + -4 + 12x = 4(x + -3) + 64

Combine like terms: -8 + -4 = -12
-12 + 12x = 4(x + -3) + 64

Reorder the terms:
-12 + 12x = 4(-3 + x) + 64
-12 + 12x = (-3 * 4 + x * 4) + 64
-12 + 12x = (-12 + 4x) + 64

Reorder the terms:
-12 + 12x = -12 + 64 + 4x

Combine like terms: -12 + 64 = 52
-12 + 12x = 52 + 4x

Solving
-12 + 12x = 52 + 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.
-12 + 12x + -4x = 52 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-12 + 8x = 52 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 8x = 52 + 0
-12 + 8x = 52

Add '12' to each side of the equation.
-12 + 12 + 8x = 52 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 52 + 12
8x = 52 + 12

Combine like terms: 52 + 12 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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