5x-7=6x+1

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


Simplifying
5x + -7 = 6x + 1

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

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

Solving
-7 + 5x = 1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 5x + -6x = 1 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-7 + -1x = 1 + 0
-7 + -1x = 1

Add '7' to each side of the equation.
-7 + 7 + -1x = 1 + 7

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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