8x-5x+2=(2x-13)-1

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Solution for 8x-5x+2=(2x-13)-1 equation:


Simplifying
8x + -5x + 2 = (2x + -13) + -1

Reorder the terms:
2 + 8x + -5x = (2x + -13) + -1

Combine like terms: 8x + -5x = 3x
2 + 3x = (2x + -13) + -1

Reorder the terms:
2 + 3x = (-13 + 2x) + -1

Remove parenthesis around (-13 + 2x)
2 + 3x = -13 + 2x + -1

Reorder the terms:
2 + 3x = -13 + -1 + 2x

Combine like terms: -13 + -1 = -14
2 + 3x = -14 + 2x

Solving
2 + 3x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 3x + -2x = -14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = -14 + 0
2 + 1x = -14

Add '-2' to each side of the equation.
2 + -2 + 1x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -14 + -2
1x = -14 + -2

Combine like terms: -14 + -2 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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