0.2-0.2(x+2)=-0.04(2-x)

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Solution for 0.2-0.2(x+2)=-0.04(2-x) equation:


Simplifying
0.2 + -0.2(x + 2) = -0.04(2 + -1x)

Reorder the terms:
0.2 + -0.2(2 + x) = -0.04(2 + -1x)
0.2 + (2 * -0.2 + x * -0.2) = -0.04(2 + -1x)
0.2 + (-0.4 + -0.2x) = -0.04(2 + -1x)

Combine like terms: 0.2 + -0.4 = -0.2
-0.2 + -0.2x = -0.04(2 + -1x)
-0.2 + -0.2x = (2 * -0.04 + -1x * -0.04)
-0.2 + -0.2x = (-0.08 + 0.04x)

Solving
-0.2 + -0.2x = -0.08 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-0.2 + -0.2x + -0.04x = -0.08 + 0.04x + -0.04x

Combine like terms: -0.2x + -0.04x = -0.24x
-0.2 + -0.24x = -0.08 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-0.2 + -0.24x = -0.08 + 0.00
-0.2 + -0.24x = -0.08

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.24x = -0.08 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.24x = -0.08 + 0.2
-0.24x = -0.08 + 0.2

Combine like terms: -0.08 + 0.2 = 0.12
-0.24x = 0.12

Divide each side by '-0.24'.
x = -0.5

Simplifying
x = -0.5

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