22x+3y+4=10x-4

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Solution for 22x+3y+4=10x-4 equation:


Simplifying
22x + 3y + 4 = 10x + -4

Reorder the terms:
4 + 22x + 3y = 10x + -4

Reorder the terms:
4 + 22x + 3y = -4 + 10x

Solving
4 + 22x + 3y = -4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 22x + -10x + 3y = -4 + 10x + -10x

Combine like terms: 22x + -10x = 12x
4 + 12x + 3y = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + 12x + 3y = -4 + 0
4 + 12x + 3y = -4

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

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

Combine like terms: 4 + -4 = 0
0 + 12x + 3y = -4 + -4
12x + 3y = -4 + -4

Combine like terms: -4 + -4 = -8
12x + 3y = -8

Add '-3y' to each side of the equation.
12x + 3y + -3y = -8 + -3y

Combine like terms: 3y + -3y = 0
12x + 0 = -8 + -3y
12x = -8 + -3y

Divide each side by '12'.
x = -0.6666666667 + -0.25y

Simplifying
x = -0.6666666667 + -0.25y

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