7x-2y+31=4x-2y+22

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Solution for 7x-2y+31=4x-2y+22 equation: 


Simplifying
7x + -2y + 31 = 4x + -2y + 22

Reorder the terms:
31 + 7x + -2y = 4x + -2y + 22

Reorder the terms:
31 + 7x + -2y = 22 + 4x + -2y

Add '2y' to each side of the equation.
31 + 7x + -2y + 2y = 22 + 4x + -2y + 2y

Combine like terms: -2y + 2y = 0
31 + 7x + 0 = 22 + 4x + -2y + 2y
31 + 7x = 22 + 4x + -2y + 2y

Combine like terms: -2y + 2y = 0
31 + 7x = 22 + 4x + 0
31 + 7x = 22 + 4x

Solving
31 + 7x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
31 + 7x + -4x = 22 + 4x + -4x

Combine like terms: 7x + -4x = 3x
31 + 3x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
31 + 3x = 22 + 0
31 + 3x = 22

Add '-31' to each side of the equation.
31 + -31 + 3x = 22 + -31

Combine like terms: 31 + -31 = 0
0 + 3x = 22 + -31
3x = 22 + -31

Combine like terms: 22 + -31 = -9
3x = -9

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

Simplifying
x = -3

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