3x-10=6x-31

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Solution for 3x-10=6x-31 equation:


Simplifying
3x + -10 = 6x + -31

Reorder the terms:
-10 + 3x = 6x + -31

Reorder the terms:
-10 + 3x = -31 + 6x

Solving
-10 + 3x = -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.
-10 + 3x + -6x = -31 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-10 + -3x = -31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -3x = -31 + 0
-10 + -3x = -31

Add '10' to each side of the equation.
-10 + 10 + -3x = -31 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -31 + 10
-3x = -31 + 10

Combine like terms: -31 + 10 = -21
-3x = -21

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

Simplifying
x = 7

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