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

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


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

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

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

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

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

Combine like terms: 13 + -1 = 12
2 + 3x = 12 + -1x

Solving
2 + 3x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 3x + x = 12 + -1x + x

Combine like terms: 3x + x = 4x
2 + 4x = 12 + -1x + x

Combine like terms: -1x + x = 0
2 + 4x = 12 + 0
2 + 4x = 12

Add '-2' to each side of the equation.
2 + -2 + 4x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 12 + -2
4x = 12 + -2

Combine like terms: 12 + -2 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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