0.4x+5.2=1.5x-2.5+0.1x

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Solution for 0.4x+5.2=1.5x-2.5+0.1x equation: 


Simplifying
0.4x + 5.2 = 1.5x + -2.5 + 0.1x

Reorder the terms:
5.2 + 0.4x = 1.5x + -2.5 + 0.1x

Reorder the terms:
5.2 + 0.4x = -2.5 + 1.5x + 0.1x

Combine like terms: 1.5x + 0.1x = 1.6x
5.2 + 0.4x = -2.5 + 1.6x

Solving
5.2 + 0.4x = -2.5 + 1.6x

Solving for variable 'x'.

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

Add '-1.6x' to each side of the equation.
5.2 + 0.4x + -1.6x = -2.5 + 1.6x + -1.6x

Combine like terms: 0.4x + -1.6x = -1.2x
5.2 + -1.2x = -2.5 + 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
5.2 + -1.2x = -2.5 + 0.0
5.2 + -1.2x = -2.5

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -1.2x = -2.5 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -1.2x = -2.5 + -5.2
-1.2x = -2.5 + -5.2

Combine like terms: -2.5 + -5.2 = -7.7
-1.2x = -7.7

Divide each side by '-1.2'.
x = 6.416666667

Simplifying
x = 6.416666667

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