8(x+1)=4(x-8)

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Solution for 8(x+1)=4(x-8) equation:


Simplifying
8(x + 1) = 4(x + -8)

Reorder the terms:
8(1 + x) = 4(x + -8)
(1 * 8 + x * 8) = 4(x + -8)
(8 + 8x) = 4(x + -8)

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

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

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

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

Add '-8' to each side of the equation.
8 + -8 + 4x = -32 + -8

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

Combine like terms: -32 + -8 = -40
4x = -40

Divide each side by '4'.
x = -10

Simplifying
x = -10

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