6x-31=3x-52

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Solution for 6x-31=3x-52 equation:


Simplifying
6x + -31 = 3x + -52

Reorder the terms:
-31 + 6x = 3x + -52

Reorder the terms:
-31 + 6x = -52 + 3x

Solving
-31 + 6x = -52 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-31 + 6x + -3x = -52 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-31 + 3x = -52 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 3x = -52 + 0
-31 + 3x = -52

Add '31' to each side of the equation.
-31 + 31 + 3x = -52 + 31

Combine like terms: -31 + 31 = 0
0 + 3x = -52 + 31
3x = -52 + 31

Combine like terms: -52 + 31 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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