10x-39+12x-9x+42-4x=42-4x

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Solution for 10x-39+12x-9x+42-4x=42-4x equation:


Simplifying
10x + -39 + 12x + -9x + 42 + -4x = 42 + -4x

Reorder the terms:
-39 + 42 + 10x + 12x + -9x + -4x = 42 + -4x

Combine like terms: -39 + 42 = 3
3 + 10x + 12x + -9x + -4x = 42 + -4x

Combine like terms: 10x + 12x = 22x
3 + 22x + -9x + -4x = 42 + -4x

Combine like terms: 22x + -9x = 13x
3 + 13x + -4x = 42 + -4x

Combine like terms: 13x + -4x = 9x
3 + 9x = 42 + -4x

Solving
3 + 9x = 42 + -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.
3 + 9x + 4x = 42 + -4x + 4x

Combine like terms: 9x + 4x = 13x
3 + 13x = 42 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 13x = 42 + 0
3 + 13x = 42

Add '-3' to each side of the equation.
3 + -3 + 13x = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = 42 + -3
13x = 42 + -3

Combine like terms: 42 + -3 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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