0.6+3(x-2)=0.2x+11

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Solution for 0.6+3(x-2)=0.2x+11 equation: 


Simplifying
0.6 + 3(x + -2) = 0.2x + 11

Reorder the terms:
0.6 + 3(-2 + x) = 0.2x + 11
0.6 + (-2 * 3 + x * 3) = 0.2x + 11
0.6 + (-6 + 3x) = 0.2x + 11

Combine like terms: 0.6 + -6 = -5.4
-5.4 + 3x = 0.2x + 11

Reorder the terms:
-5.4 + 3x = 11 + 0.2x

Solving
-5.4 + 3x = 11 + 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.
-5.4 + 3x + -0.2x = 11 + 0.2x + -0.2x

Combine like terms: 3x + -0.2x = 2.8x
-5.4 + 2.8x = 11 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-5.4 + 2.8x = 11 + 0.0
-5.4 + 2.8x = 11

Add '5.4' to each side of the equation.
-5.4 + 5.4 + 2.8x = 11 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + 2.8x = 11 + 5.4
2.8x = 11 + 5.4

Combine like terms: 11 + 5.4 = 16.4
2.8x = 16.4

Divide each side by '2.8'.
x = 5.857142857

Simplifying
x = 5.857142857

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