3.4x+48.5=10.7-9.2x

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Solution for 3.4x+48.5=10.7-9.2x equation: 


Simplifying
3.4x + 48.5 = 10.7 + -9.2x

Reorder the terms:
48.5 + 3.4x = 10.7 + -9.2x

Solving
48.5 + 3.4x = 10.7 + -9.2x

Solving for variable 'x'.

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

Add '9.2x' to each side of the equation.
48.5 + 3.4x + 9.2x = 10.7 + -9.2x + 9.2x

Combine like terms: 3.4x + 9.2x = 12.6x
48.5 + 12.6x = 10.7 + -9.2x + 9.2x

Combine like terms: -9.2x + 9.2x = 0.0
48.5 + 12.6x = 10.7 + 0.0
48.5 + 12.6x = 10.7

Add '-48.5' to each side of the equation.
48.5 + -48.5 + 12.6x = 10.7 + -48.5

Combine like terms: 48.5 + -48.5 = 0.0
0.0 + 12.6x = 10.7 + -48.5
12.6x = 10.7 + -48.5

Combine like terms: 10.7 + -48.5 = -37.8
12.6x = -37.8

Divide each side by '12.6'.
x = -3

Simplifying
x = -3

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