.3(x+2)-0.5(x+2)=.02x-.04

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Solution for .3(x+2)-0.5(x+2)=.02x-.04 equation: 


Simplifying
0.3(x + 2) + -0.5(x + 2) = 0.02x + -0.04

Reorder the terms:
0.3(2 + x) + -0.5(x + 2) = 0.02x + -0.04
(2 * 0.3 + x * 0.3) + -0.5(x + 2) = 0.02x + -0.04
(0.6 + 0.3x) + -0.5(x + 2) = 0.02x + -0.04

Reorder the terms:
0.6 + 0.3x + -0.5(2 + x) = 0.02x + -0.04
0.6 + 0.3x + (2 * -0.5 + x * -0.5) = 0.02x + -0.04
0.6 + 0.3x + (-1 + -0.5x) = 0.02x + -0.04

Reorder the terms:
0.6 + -1 + 0.3x + -0.5x = 0.02x + -0.04

Combine like terms: 0.6 + -1 = -0.4
-0.4 + 0.3x + -0.5x = 0.02x + -0.04

Combine like terms: 0.3x + -0.5x = -0.2x
-0.4 + -0.2x = 0.02x + -0.04

Reorder the terms:
-0.4 + -0.2x = -0.04 + 0.02x

Solving
-0.4 + -0.2x = -0.04 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-0.4 + -0.2x + -0.02x = -0.04 + 0.02x + -0.02x

Combine like terms: -0.2x + -0.02x = -0.22x
-0.4 + -0.22x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.4 + -0.22x = -0.04 + 0.00
-0.4 + -0.22x = -0.04

Add '0.4' to each side of the equation.
-0.4 + 0.4 + -0.22x = -0.04 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -0.22x = -0.04 + 0.4
-0.22x = -0.04 + 0.4

Combine like terms: -0.04 + 0.4 = 0.36
-0.22x = 0.36

Divide each side by '-0.22'.
x = -1.636363636

Simplifying
x = -1.636363636

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