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

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


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

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

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

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

Solving
7 + 3x = -7 + 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 + 3x + -1x = -7 + x + -1x

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

Combine like terms: x + -1x = 0
7 + 2x = -7 + 0
7 + 2x = -7

Add '-7' to each side of the equation.
7 + -7 + 2x = -7 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = -7 + -7
2x = -7 + -7

Combine like terms: -7 + -7 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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