3.7x+47.1=13.5-7.5x

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Solution for 3.7x+47.1=13.5-7.5x equation: 


Simplifying
3.7x + 47.1 = 13.5 + -7.5x

Reorder the terms:
47.1 + 3.7x = 13.5 + -7.5x

Solving
47.1 + 3.7x = 13.5 + -7.5x

Solving for variable 'x'.

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

Add '7.5x' to each side of the equation.
47.1 + 3.7x + 7.5x = 13.5 + -7.5x + 7.5x

Combine like terms: 3.7x + 7.5x = 11.2x
47.1 + 11.2x = 13.5 + -7.5x + 7.5x

Combine like terms: -7.5x + 7.5x = 0.0
47.1 + 11.2x = 13.5 + 0.0
47.1 + 11.2x = 13.5

Add '-47.1' to each side of the equation.
47.1 + -47.1 + 11.2x = 13.5 + -47.1

Combine like terms: 47.1 + -47.1 = 0.0
0.0 + 11.2x = 13.5 + -47.1
11.2x = 13.5 + -47.1

Combine like terms: 13.5 + -47.1 = -33.6
11.2x = -33.6

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

Simplifying
x = -3

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