0.33(x-2)=0.2(x+4)+2

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Solution for 0.33(x-2)=0.2(x+4)+2 equation: 


Simplifying
0.33(x + -2) = 0.2(x + 4) + 2

Reorder the terms:
0.33(-2 + x) = 0.2(x + 4) + 2
(-2 * 0.33 + x * 0.33) = 0.2(x + 4) + 2
(-0.66 + 0.33x) = 0.2(x + 4) + 2

Reorder the terms:
-0.66 + 0.33x = 0.2(4 + x) + 2
-0.66 + 0.33x = (4 * 0.2 + x * 0.2) + 2
-0.66 + 0.33x = (0.8 + 0.2x) + 2

Reorder the terms:
-0.66 + 0.33x = 0.8 + 2 + 0.2x

Combine like terms: 0.8 + 2 = 2.8
-0.66 + 0.33x = 2.8 + 0.2x

Solving
-0.66 + 0.33x = 2.8 + 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.
-0.66 + 0.33x + -0.2x = 2.8 + 0.2x + -0.2x

Combine like terms: 0.33x + -0.2x = 0.13x
-0.66 + 0.13x = 2.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.66 + 0.13x = 2.8 + 0.0
-0.66 + 0.13x = 2.8

Add '0.66' to each side of the equation.
-0.66 + 0.66 + 0.13x = 2.8 + 0.66

Combine like terms: -0.66 + 0.66 = 0.00
0.00 + 0.13x = 2.8 + 0.66
0.13x = 2.8 + 0.66

Combine like terms: 2.8 + 0.66 = 3.46
0.13x = 3.46

Divide each side by '0.13'.
x = 26.61538462

Simplifying
x = 26.61538462

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