6x-7=2x-31

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


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

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

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

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

Combine like terms: 6x + -2x = 4x
-7 + 4x = -31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 4x = -31 + 0
-7 + 4x = -31

Add '7' to each side of the equation.
-7 + 7 + 4x = -31 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = -31 + 7
4x = -31 + 7

Combine like terms: -31 + 7 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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