2.7x-5.7+2x=2.7+3.1x-10.2

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Solution for 2.7x-5.7+2x=2.7+3.1x-10.2 equation: 


Simplifying
2.7x + -5.7 + 2x = 2.7 + 3.1x + -10.2

Reorder the terms:
-5.7 + 2.7x + 2x = 2.7 + 3.1x + -10.2

Combine like terms: 2.7x + 2x = 4.7x
-5.7 + 4.7x = 2.7 + 3.1x + -10.2

Reorder the terms:
-5.7 + 4.7x = 2.7 + -10.2 + 3.1x

Combine like terms: 2.7 + -10.2 = -7.5
-5.7 + 4.7x = -7.5 + 3.1x

Solving
-5.7 + 4.7x = -7.5 + 3.1x

Solving for variable 'x'.

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

Add '-3.1x' to each side of the equation.
-5.7 + 4.7x + -3.1x = -7.5 + 3.1x + -3.1x

Combine like terms: 4.7x + -3.1x = 1.6x
-5.7 + 1.6x = -7.5 + 3.1x + -3.1x

Combine like terms: 3.1x + -3.1x = 0.0
-5.7 + 1.6x = -7.5 + 0.0
-5.7 + 1.6x = -7.5

Add '5.7' to each side of the equation.
-5.7 + 5.7 + 1.6x = -7.5 + 5.7

Combine like terms: -5.7 + 5.7 = 0.0
0.0 + 1.6x = -7.5 + 5.7
1.6x = -7.5 + 5.7

Combine like terms: -7.5 + 5.7 = -1.8
1.6x = -1.8

Divide each side by '1.6'.
x = -1.125

Simplifying
x = -1.125

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