-0.5(x-5)+x=0.2(2+6x)

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Solution for -0.5(x-5)+x=0.2(2+6x) equation: 


Simplifying
-0.5(x + -5) + x = 0.2(2 + 6x)

Reorder the terms:
-0.5(-5 + x) + x = 0.2(2 + 6x)
(-5 * -0.5 + x * -0.5) + x = 0.2(2 + 6x)
(2.5 + -0.5x) + x = 0.2(2 + 6x)

Combine like terms: -0.5x + x = 0.5x
2.5 + 0.5x = 0.2(2 + 6x)
2.5 + 0.5x = (2 * 0.2 + 6x * 0.2)
2.5 + 0.5x = (0.4 + 1.2x)

Solving
2.5 + 0.5x = 0.4 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
2.5 + 0.5x + -1.2x = 0.4 + 1.2x + -1.2x

Combine like terms: 0.5x + -1.2x = -0.7x
2.5 + -0.7x = 0.4 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
2.5 + -0.7x = 0.4 + 0.0
2.5 + -0.7x = 0.4

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -0.7x = 0.4 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.7x = 0.4 + -2.5
-0.7x = 0.4 + -2.5

Combine like terms: 0.4 + -2.5 = -2.1
-0.7x = -2.1

Divide each side by '-0.7'.
x = 3

Simplifying
x = 3

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