13x-10x+12=42-5x

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Solution for 13x-10x+12=42-5x equation:


Simplifying
13x + -10x + 12 = 42 + -5x

Reorder the terms:
12 + 13x + -10x = 42 + -5x

Combine like terms: 13x + -10x = 3x
12 + 3x = 42 + -5x

Solving
12 + 3x = 42 + -5x

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 + 3x + 5x = 42 + -5x + 5x

Combine like terms: 3x + 5x = 8x
12 + 8x = 42 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 8x = 42 + 0
12 + 8x = 42

Add '-12' to each side of the equation.
12 + -12 + 8x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = 42 + -12
8x = 42 + -12

Combine like terms: 42 + -12 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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