4(3x-7)-4=4(x-4)+24

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Solution for 4(3x-7)-4=4(x-4)+24 equation:


Simplifying
4(3x + -7) + -4 = 4(x + -4) + 24

Reorder the terms:
4(-7 + 3x) + -4 = 4(x + -4) + 24
(-7 * 4 + 3x * 4) + -4 = 4(x + -4) + 24
(-28 + 12x) + -4 = 4(x + -4) + 24

Reorder the terms:
-28 + -4 + 12x = 4(x + -4) + 24

Combine like terms: -28 + -4 = -32
-32 + 12x = 4(x + -4) + 24

Reorder the terms:
-32 + 12x = 4(-4 + x) + 24
-32 + 12x = (-4 * 4 + x * 4) + 24
-32 + 12x = (-16 + 4x) + 24

Reorder the terms:
-32 + 12x = -16 + 24 + 4x

Combine like terms: -16 + 24 = 8
-32 + 12x = 8 + 4x

Solving
-32 + 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.
-32 + 12x + -4x = 8 + 4x + -4x

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

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

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

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

Combine like terms: 8 + 32 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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