120x+42=100-24x

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Solution for 120x+42=100-24x equation:


Simplifying
120x + 42 = 100 + -24x

Reorder the terms:
42 + 120x = 100 + -24x

Solving
42 + 120x = 100 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
42 + 120x + 24x = 100 + -24x + 24x

Combine like terms: 120x + 24x = 144x
42 + 144x = 100 + -24x + 24x

Combine like terms: -24x + 24x = 0
42 + 144x = 100 + 0
42 + 144x = 100

Add '-42' to each side of the equation.
42 + -42 + 144x = 100 + -42

Combine like terms: 42 + -42 = 0
0 + 144x = 100 + -42
144x = 100 + -42

Combine like terms: 100 + -42 = 58
144x = 58

Divide each side by '144'.
x = 0.4027777778

Simplifying
x = 0.4027777778

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