0.2x-0.1=0.7-0.5(8-2x)

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Solution for 0.2x-0.1=0.7-0.5(8-2x) equation: 


Simplifying
0.2x + -0.1 = 0.7 + -0.5(8 + -2x)

Reorder the terms:
-0.1 + 0.2x = 0.7 + -0.5(8 + -2x)
-0.1 + 0.2x = 0.7 + (8 * -0.5 + -2x * -0.5)
-0.1 + 0.2x = 0.7 + (-4 + 1x)

Combine like terms: 0.7 + -4 = -3.3
-0.1 + 0.2x = -3.3 + 1x

Solving
-0.1 + 0.2x = -3.3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-0.1 + 0.2x + -1x = -3.3 + 1x + -1x

Combine like terms: 0.2x + -1x = -0.8x
-0.1 + -0.8x = -3.3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-0.1 + -0.8x = -3.3 + 0
-0.1 + -0.8x = -3.3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.8x = -3.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.8x = -3.3 + 0.1
-0.8x = -3.3 + 0.1

Combine like terms: -3.3 + 0.1 = -3.2
-0.8x = -3.2

Divide each side by '-0.8'.
x = 4

Simplifying
x = 4

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