2x-7=6x-31

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


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

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

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

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

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

Combine like terms: 6x + -6x = 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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