2x+8-7x+1=3x-1+2x-5

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Solution for 2x+8-7x+1=3x-1+2x-5 equation: 


Simplifying
2x + 8 + -7x + 1 = 3x + -1 + 2x + -5

Reorder the terms:
8 + 1 + 2x + -7x = 3x + -1 + 2x + -5

Combine like terms: 8 + 1 = 9
9 + 2x + -7x = 3x + -1 + 2x + -5

Combine like terms: 2x + -7x = -5x
9 + -5x = 3x + -1 + 2x + -5

Reorder the terms:
9 + -5x = -1 + -5 + 3x + 2x

Combine like terms: -1 + -5 = -6
9 + -5x = -6 + 3x + 2x

Combine like terms: 3x + 2x = 5x
9 + -5x = -6 + 5x

Solving
9 + -5x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + -5x + -5x = -6 + 5x + -5x

Combine like terms: -5x + -5x = -10x
9 + -10x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -10x = -6 + 0
9 + -10x = -6

Add '-9' to each side of the equation.
9 + -9 + -10x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = -6 + -9
-10x = -6 + -9

Combine like terms: -6 + -9 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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