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

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Solution for 3(x-1)+8=x-8(x+1) equation:


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

Reorder the terms:
3(-1 + x) + 8 = x + -8(x + 1)
(-1 * 3 + x * 3) + 8 = x + -8(x + 1)
(-3 + 3x) + 8 = x + -8(x + 1)

Reorder the terms:
-3 + 8 + 3x = x + -8(x + 1)

Combine like terms: -3 + 8 = 5
5 + 3x = x + -8(x + 1)

Reorder the terms:
5 + 3x = x + -8(1 + x)
5 + 3x = x + (1 * -8 + x * -8)
5 + 3x = x + (-8 + -8x)

Reorder the terms:
5 + 3x = -8 + x + -8x

Combine like terms: x + -8x = -7x
5 + 3x = -8 + -7x

Solving
5 + 3x = -8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
5 + 3x + 7x = -8 + -7x + 7x

Combine like terms: 3x + 7x = 10x
5 + 10x = -8 + -7x + 7x

Combine like terms: -7x + 7x = 0
5 + 10x = -8 + 0
5 + 10x = -8

Add '-5' to each side of the equation.
5 + -5 + 10x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + 10x = -8 + -5
10x = -8 + -5

Combine like terms: -8 + -5 = -13
10x = -13

Divide each side by '10'.
x = -1.3

Simplifying
x = -1.3

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