3(x-1)+5=x-8

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Solution for 3(x-1)+5=x-8 equation: 


Simplifying
3(x + -1) + 5 = x + -8

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

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

Combine like terms: -3 + 5 = 2
2 + 3x = x + -8

Reorder the terms:
2 + 3x = -8 + x

Solving
2 + 3x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 3x + -1x = -8 + x + -1x

Combine like terms: 3x + -1x = 2x
2 + 2x = -8 + x + -1x

Combine like terms: x + -1x = 0
2 + 2x = -8 + 0
2 + 2x = -8

Add '-2' to each side of the equation.
2 + -2 + 2x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = -8 + -2
2x = -8 + -2

Combine like terms: -8 + -2 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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