.20(x+4)=5x-2(1-x)-4

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Solution for .20(x+4)=5x-2(1-x)-4 equation: 


Simplifying
0.20(x + 4) = 5x + -2(1 + -1x) + -4

Reorder the terms:
0.20(4 + x) = 5x + -2(1 + -1x) + -4
(4 * 0.20 + x * 0.20) = 5x + -2(1 + -1x) + -4
(0.8 + 0.20x) = 5x + -2(1 + -1x) + -4
0.8 + 0.20x = 5x + (1 * -2 + -1x * -2) + -4
0.8 + 0.20x = 5x + (-2 + 2x) + -4

Reorder the terms:
0.8 + 0.20x = -2 + -4 + 5x + 2x

Combine like terms: -2 + -4 = -6
0.8 + 0.20x = -6 + 5x + 2x

Combine like terms: 5x + 2x = 7x
0.8 + 0.20x = -6 + 7x

Solving
0.8 + 0.20x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
0.8 + 0.20x + -7x = -6 + 7x + -7x

Combine like terms: 0.20x + -7x = -6.8x
0.8 + -6.8x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
0.8 + -6.8x = -6 + 0
0.8 + -6.8x = -6

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -6.8x = -6 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -6.8x = -6 + -0.8
-6.8x = -6 + -0.8

Combine like terms: -6 + -0.8 = -6.8
-6.8x = -6.8

Divide each side by '-6.8'.
x = 1

Simplifying
x = 1

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