4.2x+57.8=10.5-6.5x

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Solution for 4.2x+57.8=10.5-6.5x equation: 


Simplifying
4.2x + 57.8 = 10.5 + -6.5x

Reorder the terms:
57.8 + 4.2x = 10.5 + -6.5x

Solving
57.8 + 4.2x = 10.5 + -6.5x

Solving for variable 'x'.

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

Add '6.5x' to each side of the equation.
57.8 + 4.2x + 6.5x = 10.5 + -6.5x + 6.5x

Combine like terms: 4.2x + 6.5x = 10.7x
57.8 + 10.7x = 10.5 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
57.8 + 10.7x = 10.5 + 0.0
57.8 + 10.7x = 10.5

Add '-57.8' to each side of the equation.
57.8 + -57.8 + 10.7x = 10.5 + -57.8

Combine like terms: 57.8 + -57.8 = 0.0
0.0 + 10.7x = 10.5 + -57.8
10.7x = 10.5 + -57.8

Combine like terms: 10.5 + -57.8 = -47.3
10.7x = -47.3

Divide each side by '10.7'.
x = -4.420560748

Simplifying
x = -4.420560748

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