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

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Solution for 0.3(x-2)=0.2(x+4)+2 equation: 


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

Reorder the terms:
0.3(-2 + x) = 0.2(x + 4) + 2
(-2 * 0.3 + x * 0.3) = 0.2(x + 4) + 2
(-0.6 + 0.3x) = 0.2(x + 4) + 2

Reorder the terms:
-0.6 + 0.3x = 0.2(4 + x) + 2
-0.6 + 0.3x = (4 * 0.2 + x * 0.2) + 2
-0.6 + 0.3x = (0.8 + 0.2x) + 2

Reorder the terms:
-0.6 + 0.3x = 0.8 + 2 + 0.2x

Combine like terms: 0.8 + 2 = 2.8
-0.6 + 0.3x = 2.8 + 0.2x

Solving
-0.6 + 0.3x = 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.
-0.6 + 0.3x + -0.2x = 2.8 + 0.2x + -0.2x

Combine like terms: 0.3x + -0.2x = 0.1x
-0.6 + 0.1x = 2.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.6 + 0.1x = 2.8 + 0.0
-0.6 + 0.1x = 2.8

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.1x = 2.8 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.1x = 2.8 + 0.6
0.1x = 2.8 + 0.6

Combine like terms: 2.8 + 0.6 = 3.4
0.1x = 3.4

Divide each side by '0.1'.
x = 34

Simplifying
x = 34

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