0.2(x-5)=2x-0.5

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


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

Reorder the terms:
0.2(-5 + x) = 2x + -0.5
(-5 * 0.2 + x * 0.2) = 2x + -0.5
(-1 + 0.2x) = 2x + -0.5

Reorder the terms:
-1 + 0.2x = -0.5 + 2x

Solving
-1 + 0.2x = -0.5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 0.2x + -2x = -0.5 + 2x + -2x

Combine like terms: 0.2x + -2x = -1.8x
-1 + -1.8x = -0.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + -1.8x = -0.5 + 0
-1 + -1.8x = -0.5

Add '1' to each side of the equation.
-1 + 1 + -1.8x = -0.5 + 1

Combine like terms: -1 + 1 = 0
0 + -1.8x = -0.5 + 1
-1.8x = -0.5 + 1

Combine like terms: -0.5 + 1 = 0.5
-1.8x = 0.5

Divide each side by '-1.8'.
x = -0.2777777778

Simplifying
x = -0.2777777778

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