7x-6=2x-31

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Solution for 7x-6=2x-31 equation:


Simplifying
7x + -6 = 2x + -31

Reorder the terms:
-6 + 7x = 2x + -31

Reorder the terms:
-6 + 7x = -31 + 2x

Solving
-6 + 7x = -31 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 7x + -2x = -31 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-6 + 5x = -31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 5x = -31 + 0
-6 + 5x = -31

Add '6' to each side of the equation.
-6 + 6 + 5x = -31 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -31 + 6
5x = -31 + 6

Combine like terms: -31 + 6 = -25
5x = -25

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

Simplifying
x = -5

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