3.1x+45.6=25.2-7.1x

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Solution for 3.1x+45.6=25.2-7.1x equation:


Simplifying
3.1x + 45.6 = 25.2 + -7.1x

Reorder the terms:
45.6 + 3.1x = 25.2 + -7.1x

Solving
45.6 + 3.1x = 25.2 + -7.1x

Solving for variable 'x'.

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

Add '7.1x' to each side of the equation.
45.6 + 3.1x + 7.1x = 25.2 + -7.1x + 7.1x

Combine like terms: 3.1x + 7.1x = 10.2x
45.6 + 10.2x = 25.2 + -7.1x + 7.1x

Combine like terms: -7.1x + 7.1x = 0.0
45.6 + 10.2x = 25.2 + 0.0
45.6 + 10.2x = 25.2

Add '-45.6' to each side of the equation.
45.6 + -45.6 + 10.2x = 25.2 + -45.6

Combine like terms: 45.6 + -45.6 = 0.0
0.0 + 10.2x = 25.2 + -45.6
10.2x = 25.2 + -45.6

Combine like terms: 25.2 + -45.6 = -20.4
10.2x = -20.4

Divide each side by '10.2'.
x = -2

Simplifying
x = -2

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