24=8(4x+4)-4(6x-8)

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Solution for 24=8(4x+4)-4(6x-8) equation:


Simplifying
24 = 8(4x + 4) + -4(6x + -8)

Reorder the terms:
24 = 8(4 + 4x) + -4(6x + -8)
24 = (4 * 8 + 4x * 8) + -4(6x + -8)
24 = (32 + 32x) + -4(6x + -8)

Reorder the terms:
24 = 32 + 32x + -4(-8 + 6x)
24 = 32 + 32x + (-8 * -4 + 6x * -4)
24 = 32 + 32x + (32 + -24x)

Reorder the terms:
24 = 32 + 32 + 32x + -24x

Combine like terms: 32 + 32 = 64
24 = 64 + 32x + -24x

Combine like terms: 32x + -24x = 8x
24 = 64 + 8x

Solving
24 = 64 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + -8x = 64 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + -8x = 64 + 0
24 + -8x = 64

Add '-24' to each side of the equation.
24 + -24 + -8x = 64 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = 64 + -24
-8x = 64 + -24

Combine like terms: 64 + -24 = 40
-8x = 40

Divide each side by '-8'.
x = -5

Simplifying
x = -5

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