2.4x+13.7=8.1x-22.5

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Solution for 2.4x+13.7=8.1x-22.5 equation:


Simplifying
2.4x + 13.7 = 8.1x + -22.5

Reorder the terms:
13.7 + 2.4x = 8.1x + -22.5

Reorder the terms:
13.7 + 2.4x = -22.5 + 8.1x

Solving
13.7 + 2.4x = -22.5 + 8.1x

Solving for variable 'x'.

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

Add '-8.1x' to each side of the equation.
13.7 + 2.4x + -8.1x = -22.5 + 8.1x + -8.1x

Combine like terms: 2.4x + -8.1x = -5.7x
13.7 + -5.7x = -22.5 + 8.1x + -8.1x

Combine like terms: 8.1x + -8.1x = 0.0
13.7 + -5.7x = -22.5 + 0.0
13.7 + -5.7x = -22.5

Add '-13.7' to each side of the equation.
13.7 + -13.7 + -5.7x = -22.5 + -13.7

Combine like terms: 13.7 + -13.7 = 0.0
0.0 + -5.7x = -22.5 + -13.7
-5.7x = -22.5 + -13.7

Combine like terms: -22.5 + -13.7 = -36.2
-5.7x = -36.2

Divide each side by '-5.7'.
x = 6.350877193

Simplifying
x = 6.350877193

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