0.2(5x-1)+0.2x=3.1(x+2)

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Solution for 0.2(5x-1)+0.2x=3.1(x+2) equation: 


Simplifying
0.2(5x + -1) + 0.2x = 3.1(x + 2)

Reorder the terms:
0.2(-1 + 5x) + 0.2x = 3.1(x + 2)
(-1 * 0.2 + 5x * 0.2) + 0.2x = 3.1(x + 2)
(-0.2 + 1x) + 0.2x = 3.1(x + 2)

Combine like terms: 1x + 0.2x = 1.2x
-0.2 + 1.2x = 3.1(x + 2)

Reorder the terms:
-0.2 + 1.2x = 3.1(2 + x)
-0.2 + 1.2x = (2 * 3.1 + x * 3.1)
-0.2 + 1.2x = (6.2 + 3.1x)

Solving
-0.2 + 1.2x = 6.2 + 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.
-0.2 + 1.2x + -3.1x = 6.2 + 3.1x + -3.1x

Combine like terms: 1.2x + -3.1x = -1.9x
-0.2 + -1.9x = 6.2 + 3.1x + -3.1x

Combine like terms: 3.1x + -3.1x = 0.0
-0.2 + -1.9x = 6.2 + 0.0
-0.2 + -1.9x = 6.2

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -1.9x = 6.2 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -1.9x = 6.2 + 0.2
-1.9x = 6.2 + 0.2

Combine like terms: 6.2 + 0.2 = 6.4
-1.9x = 6.4

Divide each side by '-1.9'.
x = -3.368421053

Simplifying
x = -3.368421053

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