2.8x+41.5=10.7-12.6x

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Solution for 2.8x+41.5=10.7-12.6x equation: 


Simplifying
2.8x + 41.5 = 10.7 + -12.6x

Reorder the terms:
41.5 + 2.8x = 10.7 + -12.6x

Solving
41.5 + 2.8x = 10.7 + -12.6x

Solving for variable 'x'.

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

Add '12.6x' to each side of the equation.
41.5 + 2.8x + 12.6x = 10.7 + -12.6x + 12.6x

Combine like terms: 2.8x + 12.6x = 15.4x
41.5 + 15.4x = 10.7 + -12.6x + 12.6x

Combine like terms: -12.6x + 12.6x = 0.0
41.5 + 15.4x = 10.7 + 0.0
41.5 + 15.4x = 10.7

Add '-41.5' to each side of the equation.
41.5 + -41.5 + 15.4x = 10.7 + -41.5

Combine like terms: 41.5 + -41.5 = 0.0
0.0 + 15.4x = 10.7 + -41.5
15.4x = 10.7 + -41.5

Combine like terms: 10.7 + -41.5 = -30.8
15.4x = -30.8

Divide each side by '15.4'.
x = -2

Simplifying
x = -2

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