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

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


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

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

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

Combine like terms: 3x + -7x = -4x
-7 + -4x = x + 8

Reorder the terms:
-7 + -4x = 8 + x

Solving
-7 + -4x = 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.
-7 + -4x + -1x = 8 + x + -1x

Combine like terms: -4x + -1x = -5x
-7 + -5x = 8 + x + -1x

Combine like terms: x + -1x = 0
-7 + -5x = 8 + 0
-7 + -5x = 8

Add '7' to each side of the equation.
-7 + 7 + -5x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 8 + 7
-5x = 8 + 7

Combine like terms: 8 + 7 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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