3.6x+45.4=12.1-7.5x

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Solution for 3.6x+45.4=12.1-7.5x equation:


Simplifying
3.6x + 45.4 = 12.1 + -7.5x

Reorder the terms:
45.4 + 3.6x = 12.1 + -7.5x

Solving
45.4 + 3.6x = 12.1 + -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.
45.4 + 3.6x + 7.5x = 12.1 + -7.5x + 7.5x

Combine like terms: 3.6x + 7.5x = 11.1x
45.4 + 11.1x = 12.1 + -7.5x + 7.5x

Combine like terms: -7.5x + 7.5x = 0.0
45.4 + 11.1x = 12.1 + 0.0
45.4 + 11.1x = 12.1

Add '-45.4' to each side of the equation.
45.4 + -45.4 + 11.1x = 12.1 + -45.4

Combine like terms: 45.4 + -45.4 = 0.0
0.0 + 11.1x = 12.1 + -45.4
11.1x = 12.1 + -45.4

Combine like terms: 12.1 + -45.4 = -33.3
11.1x = -33.3

Divide each side by '11.1'.
x = -3

Simplifying
x = -3

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