7x+1-5x+2=8x+1-x+6

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Solution for 7x+1-5x+2=8x+1-x+6 equation: 


Simplifying
7x + 1 + -5x + 2 = 8x + 1 + -1x + 6

Reorder the terms:
1 + 2 + 7x + -5x = 8x + 1 + -1x + 6

Combine like terms: 1 + 2 = 3
3 + 7x + -5x = 8x + 1 + -1x + 6

Combine like terms: 7x + -5x = 2x
3 + 2x = 8x + 1 + -1x + 6

Reorder the terms:
3 + 2x = 1 + 6 + 8x + -1x

Combine like terms: 1 + 6 = 7
3 + 2x = 7 + 8x + -1x

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

Solving
3 + 2x = 7 + 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.
3 + 2x + -7x = 7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
3 + -5x = 7 + 0
3 + -5x = 7

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

Combine like terms: 3 + -3 = 0
0 + -5x = 7 + -3
-5x = 7 + -3

Combine like terms: 7 + -3 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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