4(4x-8)-8=4(x-3)+32

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Solution for 4(4x-8)-8=4(x-3)+32 equation:


Simplifying
4(4x + -8) + -8 = 4(x + -3) + 32

Reorder the terms:
4(-8 + 4x) + -8 = 4(x + -3) + 32
(-8 * 4 + 4x * 4) + -8 = 4(x + -3) + 32
(-32 + 16x) + -8 = 4(x + -3) + 32

Reorder the terms:
-32 + -8 + 16x = 4(x + -3) + 32

Combine like terms: -32 + -8 = -40
-40 + 16x = 4(x + -3) + 32

Reorder the terms:
-40 + 16x = 4(-3 + x) + 32
-40 + 16x = (-3 * 4 + x * 4) + 32
-40 + 16x = (-12 + 4x) + 32

Reorder the terms:
-40 + 16x = -12 + 32 + 4x

Combine like terms: -12 + 32 = 20
-40 + 16x = 20 + 4x

Solving
-40 + 16x = 20 + 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.
-40 + 16x + -4x = 20 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-40 + 12x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 12x = 20 + 0
-40 + 12x = 20

Add '40' to each side of the equation.
-40 + 40 + 12x = 20 + 40

Combine like terms: -40 + 40 = 0
0 + 12x = 20 + 40
12x = 20 + 40

Combine like terms: 20 + 40 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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