3.4x+49.5=15.9-7.8x

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Solution for 3.4x+49.5=15.9-7.8x equation: 


Simplifying
3.4x + 49.5 = 15.9 + -7.8x

Reorder the terms:
49.5 + 3.4x = 15.9 + -7.8x

Solving
49.5 + 3.4x = 15.9 + -7.8x

Solving for variable 'x'.

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

Add '7.8x' to each side of the equation.
49.5 + 3.4x + 7.8x = 15.9 + -7.8x + 7.8x

Combine like terms: 3.4x + 7.8x = 11.2x
49.5 + 11.2x = 15.9 + -7.8x + 7.8x

Combine like terms: -7.8x + 7.8x = 0.0
49.5 + 11.2x = 15.9 + 0.0
49.5 + 11.2x = 15.9

Add '-49.5' to each side of the equation.
49.5 + -49.5 + 11.2x = 15.9 + -49.5

Combine like terms: 49.5 + -49.5 = 0.0
0.0 + 11.2x = 15.9 + -49.5
11.2x = 15.9 + -49.5

Combine like terms: 15.9 + -49.5 = -33.6
11.2x = -33.6

Divide each side by '11.2'.
x = -3

Simplifying
x = -3

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