4x-10=x-31

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Solution for 4x-10=x-31 equation:


Simplifying
4x + -10 = x + -31

Reorder the terms:
-10 + 4x = x + -31

Reorder the terms:
-10 + 4x = -31 + x

Solving
-10 + 4x = -31 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 4x + -1x = -31 + x + -1x

Combine like terms: 4x + -1x = 3x
-10 + 3x = -31 + x + -1x

Combine like terms: x + -1x = 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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