0.2(x+2)=0.333(x-3)+2

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Solution for 0.2(x+2)=0.333(x-3)+2 equation: 


Simplifying
0.2(x + 2) = 0.333(x + -3) + 2

Reorder the terms:
0.2(2 + x) = 0.333(x + -3) + 2
(2 * 0.2 + x * 0.2) = 0.333(x + -3) + 2
(0.4 + 0.2x) = 0.333(x + -3) + 2

Reorder the terms:
0.4 + 0.2x = 0.333(-3 + x) + 2
0.4 + 0.2x = (-3 * 0.333 + x * 0.333) + 2
0.4 + 0.2x = (-0.999 + 0.333x) + 2

Reorder the terms:
0.4 + 0.2x = -0.999 + 2 + 0.333x

Combine like terms: -0.999 + 2 = 1.001
0.4 + 0.2x = 1.001 + 0.333x

Solving
0.4 + 0.2x = 1.001 + 0.333x

Solving for variable 'x'.

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

Add '-0.333x' to each side of the equation.
0.4 + 0.2x + -0.333x = 1.001 + 0.333x + -0.333x

Combine like terms: 0.2x + -0.333x = -0.133x
0.4 + -0.133x = 1.001 + 0.333x + -0.333x

Combine like terms: 0.333x + -0.333x = 0.000
0.4 + -0.133x = 1.001 + 0.000
0.4 + -0.133x = 1.001

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -0.133x = 1.001 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.133x = 1.001 + -0.4
-0.133x = 1.001 + -0.4

Combine like terms: 1.001 + -0.4 = 0.601
-0.133x = 0.601

Divide each side by '-0.133'.
x = -4.518796992

Simplifying
x = -4.518796992

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