12x+18+10x-40+60=15x-15-20

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Solution for 12x+18+10x-40+60=15x-15-20 equation:


Simplifying
12x + 18 + 10x + -40 + 60 = 15x + -15 + -20

Reorder the terms:
18 + -40 + 60 + 12x + 10x = 15x + -15 + -20

Combine like terms: 18 + -40 = -22
-22 + 60 + 12x + 10x = 15x + -15 + -20

Combine like terms: -22 + 60 = 38
38 + 12x + 10x = 15x + -15 + -20

Combine like terms: 12x + 10x = 22x
38 + 22x = 15x + -15 + -20

Reorder the terms:
38 + 22x = -15 + -20 + 15x

Combine like terms: -15 + -20 = -35
38 + 22x = -35 + 15x

Solving
38 + 22x = -35 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
38 + 22x + -15x = -35 + 15x + -15x

Combine like terms: 22x + -15x = 7x
38 + 7x = -35 + 15x + -15x

Combine like terms: 15x + -15x = 0
38 + 7x = -35 + 0
38 + 7x = -35

Add '-38' to each side of the equation.
38 + -38 + 7x = -35 + -38

Combine like terms: 38 + -38 = 0
0 + 7x = -35 + -38
7x = -35 + -38

Combine like terms: -35 + -38 = -73
7x = -73

Divide each side by '7'.
x = -10.42857143

Simplifying
x = -10.42857143

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