2x-5x+41=2x+31

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Solution for 2x-5x+41=2x+31 equation:


Simplifying
2x + -5x + 41 = 2x + 31

Reorder the terms:
41 + 2x + -5x = 2x + 31

Combine like terms: 2x + -5x = -3x
41 + -3x = 2x + 31

Reorder the terms:
41 + -3x = 31 + 2x

Solving
41 + -3x = 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.
41 + -3x + -2x = 31 + 2x + -2x

Combine like terms: -3x + -2x = -5x
41 + -5x = 31 + 2x + -2x

Combine like terms: 2x + -2x = 0
41 + -5x = 31 + 0
41 + -5x = 31

Add '-41' to each side of the equation.
41 + -41 + -5x = 31 + -41

Combine like terms: 41 + -41 = 0
0 + -5x = 31 + -41
-5x = 31 + -41

Combine like terms: 31 + -41 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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