4x-12=-5x+3y-22

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Solution for 4x-12=-5x+3y-22 equation:


Simplifying
4x + -12 = -5x + 3y + -22

Reorder the terms:
-12 + 4x = -5x + 3y + -22

Reorder the terms:
-12 + 4x = -22 + -5x + 3y

Solving
-12 + 4x = -22 + -5x + 3y

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12 + 4x + 5x = -22 + -5x + 5x + 3y

Combine like terms: 4x + 5x = 9x
-12 + 9x = -22 + -5x + 5x + 3y

Combine like terms: -5x + 5x = 0
-12 + 9x = -22 + 0 + 3y
-12 + 9x = -22 + 3y

Add '12' to each side of the equation.
-12 + 12 + 9x = -22 + 12 + 3y

Combine like terms: -12 + 12 = 0
0 + 9x = -22 + 12 + 3y
9x = -22 + 12 + 3y

Combine like terms: -22 + 12 = -10
9x = -10 + 3y

Divide each side by '9'.
x = -1.111111111 + 0.3333333333y

Simplifying
x = -1.111111111 + 0.3333333333y

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