4(4x-8)-4=4(x-4)+40

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Solution for 4(4x-8)-4=4(x-4)+40 equation:


Simplifying
4(4x + -8) + -4 = 4(x + -4) + 40

Reorder the terms:
4(-8 + 4x) + -4 = 4(x + -4) + 40
(-8 * 4 + 4x * 4) + -4 = 4(x + -4) + 40
(-32 + 16x) + -4 = 4(x + -4) + 40

Reorder the terms:
-32 + -4 + 16x = 4(x + -4) + 40

Combine like terms: -32 + -4 = -36
-36 + 16x = 4(x + -4) + 40

Reorder the terms:
-36 + 16x = 4(-4 + x) + 40
-36 + 16x = (-4 * 4 + x * 4) + 40
-36 + 16x = (-16 + 4x) + 40

Reorder the terms:
-36 + 16x = -16 + 40 + 4x

Combine like terms: -16 + 40 = 24
-36 + 16x = 24 + 4x

Solving
-36 + 16x = 24 + 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.
-36 + 16x + -4x = 24 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-36 + 12x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 12x = 24 + 0
-36 + 12x = 24

Add '36' to each side of the equation.
-36 + 36 + 12x = 24 + 36

Combine like terms: -36 + 36 = 0
0 + 12x = 24 + 36
12x = 24 + 36

Combine like terms: 24 + 36 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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