0.2x+1.3=5x-13.1

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Solution for 0.2x+1.3=5x-13.1 equation: 


Simplifying
0.2x + 1.3 = 5x + -13.1

Reorder the terms:
1.3 + 0.2x = 5x + -13.1

Reorder the terms:
1.3 + 0.2x = -13.1 + 5x

Solving
1.3 + 0.2x = -13.1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1.3 + 0.2x + -5x = -13.1 + 5x + -5x

Combine like terms: 0.2x + -5x = -4.8x
1.3 + -4.8x = -13.1 + 5x + -5x

Combine like terms: 5x + -5x = 0
1.3 + -4.8x = -13.1 + 0
1.3 + -4.8x = -13.1

Add '-1.3' to each side of the equation.
1.3 + -1.3 + -4.8x = -13.1 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + -4.8x = -13.1 + -1.3
-4.8x = -13.1 + -1.3

Combine like terms: -13.1 + -1.3 = -14.4
-4.8x = -14.4

Divide each side by '-4.8'.
x = 3

Simplifying
x = 3

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