5x+2=6x-7

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


Simplifying
5x + 2 = 6x + -7

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

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

Solving
2 + 5x = -7 + 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.
2 + 5x + -6x = -7 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -1x = -7 + 0
2 + -1x = -7

Add '-2' to each side of the equation.
2 + -2 + -1x = -7 + -2

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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