.2(x+4)=8x-20(1-x)-7

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Solution for .2(x+4)=8x-20(1-x)-7 equation: 


Simplifying
0.2(x + 4) = 8x + -20(1 + -1x) + -7

Reorder the terms:
0.2(4 + x) = 8x + -20(1 + -1x) + -7
(4 * 0.2 + x * 0.2) = 8x + -20(1 + -1x) + -7
(0.8 + 0.2x) = 8x + -20(1 + -1x) + -7
0.8 + 0.2x = 8x + (1 * -20 + -1x * -20) + -7
0.8 + 0.2x = 8x + (-20 + 20x) + -7

Reorder the terms:
0.8 + 0.2x = -20 + -7 + 8x + 20x

Combine like terms: -20 + -7 = -27
0.8 + 0.2x = -27 + 8x + 20x

Combine like terms: 8x + 20x = 28x
0.8 + 0.2x = -27 + 28x

Solving
0.8 + 0.2x = -27 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
0.8 + 0.2x + -28x = -27 + 28x + -28x

Combine like terms: 0.2x + -28x = -27.8x
0.8 + -27.8x = -27 + 28x + -28x

Combine like terms: 28x + -28x = 0
0.8 + -27.8x = -27 + 0
0.8 + -27.8x = -27

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -27.8x = -27 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -27.8x = -27 + -0.8
-27.8x = -27 + -0.8

Combine like terms: -27 + -0.8 = -27.8
-27.8x = -27.8

Divide each side by '-27.8'.
x = 1

Simplifying
x = 1

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