96=4(8x+2)+4(2x-8)

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Solution for 96=4(8x+2)+4(2x-8) equation:


Simplifying
96 = 4(8x + 2) + 4(2x + -8)

Reorder the terms:
96 = 4(2 + 8x) + 4(2x + -8)
96 = (2 * 4 + 8x * 4) + 4(2x + -8)
96 = (8 + 32x) + 4(2x + -8)

Reorder the terms:
96 = 8 + 32x + 4(-8 + 2x)
96 = 8 + 32x + (-8 * 4 + 2x * 4)
96 = 8 + 32x + (-32 + 8x)

Reorder the terms:
96 = 8 + -32 + 32x + 8x

Combine like terms: 8 + -32 = -24
96 = -24 + 32x + 8x

Combine like terms: 32x + 8x = 40x
96 = -24 + 40x

Solving
96 = -24 + 40x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-40x' to each side of the equation.
96 + -40x = -24 + 40x + -40x

Combine like terms: 40x + -40x = 0
96 + -40x = -24 + 0
96 + -40x = -24

Add '-96' to each side of the equation.
96 + -96 + -40x = -24 + -96

Combine like terms: 96 + -96 = 0
0 + -40x = -24 + -96
-40x = -24 + -96

Combine like terms: -24 + -96 = -120
-40x = -120

Divide each side by '-40'.
x = 3

Simplifying
x = 3

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