.4(2-x)=.2(x+7)

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


Simplifying
0.4(2 + -1x) = 0.2(x + 7)
(2 * 0.4 + -1x * 0.4) = 0.2(x + 7)
(0.8 + -0.4x) = 0.2(x + 7)

Reorder the terms:
0.8 + -0.4x = 0.2(7 + x)
0.8 + -0.4x = (7 * 0.2 + x * 0.2)
0.8 + -0.4x = (1.4 + 0.2x)

Solving
0.8 + -0.4x = 1.4 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.8 + -0.4x + -0.2x = 1.4 + 0.2x + -0.2x

Combine like terms: -0.4x + -0.2x = -0.6x
0.8 + -0.6x = 1.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.8 + -0.6x = 1.4 + 0.0
0.8 + -0.6x = 1.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.6x = 1.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.6x = 1.4 + -0.8
-0.6x = 1.4 + -0.8

Combine like terms: 1.4 + -0.8 = 0.6
-0.6x = 0.6

Divide each side by '-0.6'.
x = -1

Simplifying
x = -1

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