0.75(0.25x+8)-(.5x+2)=.375(4-x)-.25x

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Solution for 0.75(0.25x+8)-(.5x+2)=.375(4-x)-.25x equation: 


Simplifying
0.75(0.25x + 8) + -1(0.5x + 2) = 0.375(4 + -1x) + -0.25x

Reorder the terms:
0.75(8 + 0.25x) + -1(0.5x + 2) = 0.375(4 + -1x) + -0.25x
(8 * 0.75 + 0.25x * 0.75) + -1(0.5x + 2) = 0.375(4 + -1x) + -0.25x
(6 + 0.1875x) + -1(0.5x + 2) = 0.375(4 + -1x) + -0.25x

Reorder the terms:
6 + 0.1875x + -1(2 + 0.5x) = 0.375(4 + -1x) + -0.25x
6 + 0.1875x + (2 * -1 + 0.5x * -1) = 0.375(4 + -1x) + -0.25x
6 + 0.1875x + (-2 + -0.5x) = 0.375(4 + -1x) + -0.25x

Reorder the terms:
6 + -2 + 0.1875x + -0.5x = 0.375(4 + -1x) + -0.25x

Combine like terms: 6 + -2 = 4
4 + 0.1875x + -0.5x = 0.375(4 + -1x) + -0.25x

Combine like terms: 0.1875x + -0.5x = -0.3125x
4 + -0.3125x = 0.375(4 + -1x) + -0.25x
4 + -0.3125x = (4 * 0.375 + -1x * 0.375) + -0.25x
4 + -0.3125x = (1.5 + -0.375x) + -0.25x

Combine like terms: -0.375x + -0.25x = -0.625x
4 + -0.3125x = 1.5 + -0.625x

Solving
4 + -0.3125x = 1.5 + -0.625x

Solving for variable 'x'.

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

Add '0.625x' to each side of the equation.
4 + -0.3125x + 0.625x = 1.5 + -0.625x + 0.625x

Combine like terms: -0.3125x + 0.625x = 0.3125x
4 + 0.3125x = 1.5 + -0.625x + 0.625x

Combine like terms: -0.625x + 0.625x = 0.000
4 + 0.3125x = 1.5 + 0.000
4 + 0.3125x = 1.5

Add '-4' to each side of the equation.
4 + -4 + 0.3125x = 1.5 + -4

Combine like terms: 4 + -4 = 0
0 + 0.3125x = 1.5 + -4
0.3125x = 1.5 + -4

Combine like terms: 1.5 + -4 = -2.5
0.3125x = -2.5

Divide each side by '0.3125'.
x = -8

Simplifying
x = -8

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