4(3x-7)-4=4(x-5)+4

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Solution for 4(3x-7)-4=4(x-5)+4 equation:


Simplifying
4(3x + -7) + -4 = 4(x + -5) + 4

Reorder the terms:
4(-7 + 3x) + -4 = 4(x + -5) + 4
(-7 * 4 + 3x * 4) + -4 = 4(x + -5) + 4
(-28 + 12x) + -4 = 4(x + -5) + 4

Reorder the terms:
-28 + -4 + 12x = 4(x + -5) + 4

Combine like terms: -28 + -4 = -32
-32 + 12x = 4(x + -5) + 4

Reorder the terms:
-32 + 12x = 4(-5 + x) + 4
-32 + 12x = (-5 * 4 + x * 4) + 4
-32 + 12x = (-20 + 4x) + 4

Reorder the terms:
-32 + 12x = -20 + 4 + 4x

Combine like terms: -20 + 4 = -16
-32 + 12x = -16 + 4x

Solving
-32 + 12x = -16 + 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.
-32 + 12x + -4x = -16 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-32 + 8x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + 8x = -16 + 0
-32 + 8x = -16

Add '32' to each side of the equation.
-32 + 32 + 8x = -16 + 32

Combine like terms: -32 + 32 = 0
0 + 8x = -16 + 32
8x = -16 + 32

Combine like terms: -16 + 32 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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