3.2x+45.3=11.7-8.0x

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Solution for 3.2x+45.3=11.7-8.0x equation: 


Simplifying
3.2x + 45.3 = 11.7 + -8.0x

Reorder the terms:
45.3 + 3.2x = 11.7 + -8.0x

Solving
45.3 + 3.2x = 11.7 + -8.0x

Solving for variable 'x'.

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

Add '8.0x' to each side of the equation.
45.3 + 3.2x + 8.0x = 11.7 + -8.0x + 8.0x

Combine like terms: 3.2x + 8.0x = 11.2x
45.3 + 11.2x = 11.7 + -8.0x + 8.0x

Combine like terms: -8.0x + 8.0x = 0.0
45.3 + 11.2x = 11.7 + 0.0
45.3 + 11.2x = 11.7

Add '-45.3' to each side of the equation.
45.3 + -45.3 + 11.2x = 11.7 + -45.3

Combine like terms: 45.3 + -45.3 = 0.0
0.0 + 11.2x = 11.7 + -45.3
11.2x = 11.7 + -45.3

Combine like terms: 11.7 + -45.3 = -33.6
11.2x = -33.6

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

Simplifying
x = -3

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