22x-5-7x=15-12x+10x-10

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Solution for 22x-5-7x=15-12x+10x-10 equation:


Simplifying
22x + -5 + -7x = 15 + -12x + 10x + -10

Reorder the terms:
-5 + 22x + -7x = 15 + -12x + 10x + -10

Combine like terms: 22x + -7x = 15x
-5 + 15x = 15 + -12x + 10x + -10

Reorder the terms:
-5 + 15x = 15 + -10 + -12x + 10x

Combine like terms: 15 + -10 = 5
-5 + 15x = 5 + -12x + 10x

Combine like terms: -12x + 10x = -2x
-5 + 15x = 5 + -2x

Solving
-5 + 15x = 5 + -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.
-5 + 15x + 2x = 5 + -2x + 2x

Combine like terms: 15x + 2x = 17x
-5 + 17x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 17x = 5 + 0
-5 + 17x = 5

Add '5' to each side of the equation.
-5 + 5 + 17x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 17x = 5 + 5
17x = 5 + 5

Combine like terms: 5 + 5 = 10
17x = 10

Divide each side by '17'.
x = 0.5882352941

Simplifying
x = 0.5882352941

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