0.05(4x-2)-x=.25(8-2x)

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Solution for 0.05(4x-2)-x=.25(8-2x) equation: 


Simplifying
0.05(4x + -2) + -1x = 0.25(8 + -2x)

Reorder the terms:
0.05(-2 + 4x) + -1x = 0.25(8 + -2x)
(-2 * 0.05 + 4x * 0.05) + -1x = 0.25(8 + -2x)
(-0.1 + 0.2x) + -1x = 0.25(8 + -2x)

Combine like terms: 0.2x + -1x = -0.8x
-0.1 + -0.8x = 0.25(8 + -2x)
-0.1 + -0.8x = (8 * 0.25 + -2x * 0.25)
-0.1 + -0.8x = (2 + -0.5x)

Solving
-0.1 + -0.8x = 2 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-0.1 + -0.8x + 0.5x = 2 + -0.5x + 0.5x

Combine like terms: -0.8x + 0.5x = -0.3x
-0.1 + -0.3x = 2 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-0.1 + -0.3x = 2 + 0.0
-0.1 + -0.3x = 2

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.3x = 2 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.3x = 2 + 0.1
-0.3x = 2 + 0.1

Combine like terms: 2 + 0.1 = 2.1
-0.3x = 2.1

Divide each side by '-0.3'.
x = -7

Simplifying
x = -7

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