3.8x+42.8=17.8-8.7x

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Solution for 3.8x+42.8=17.8-8.7x equation: 


Simplifying
3.8x + 42.8 = 17.8 + -8.7x

Reorder the terms:
42.8 + 3.8x = 17.8 + -8.7x

Solving
42.8 + 3.8x = 17.8 + -8.7x

Solving for variable 'x'.

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

Add '8.7x' to each side of the equation.
42.8 + 3.8x + 8.7x = 17.8 + -8.7x + 8.7x

Combine like terms: 3.8x + 8.7x = 12.5x
42.8 + 12.5x = 17.8 + -8.7x + 8.7x

Combine like terms: -8.7x + 8.7x = 0.0
42.8 + 12.5x = 17.8 + 0.0
42.8 + 12.5x = 17.8

Add '-42.8' to each side of the equation.
42.8 + -42.8 + 12.5x = 17.8 + -42.8

Combine like terms: 42.8 + -42.8 = 0.0
0.0 + 12.5x = 17.8 + -42.8
12.5x = 17.8 + -42.8

Combine like terms: 17.8 + -42.8 = -25
12.5x = -25

Divide each side by '12.5'.
x = -2

Simplifying
x = -2

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