0.2(3X-5)+0.5(2X-9)=12

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Solution for 0.2(3X-5)+0.5(2X-9)=12 equation: 


Simplifying
0.2(3X + -5) + 0.5(2X + -9) = 12

Reorder the terms:
0.2(-5 + 3X) + 0.5(2X + -9) = 12
(-5 * 0.2 + 3X * 0.2) + 0.5(2X + -9) = 12
(-1 + 0.6X) + 0.5(2X + -9) = 12

Reorder the terms:
-1 + 0.6X + 0.5(-9 + 2X) = 12
-1 + 0.6X + (-9 * 0.5 + 2X * 0.5) = 12
-1 + 0.6X + (-4.5 + 1X) = 12

Reorder the terms:
-1 + -4.5 + 0.6X + 1X = 12

Combine like terms: -1 + -4.5 = -5.5
-5.5 + 0.6X + 1X = 12

Combine like terms: 0.6X + 1X = 1.6X
-5.5 + 1.6X = 12

Solving
-5.5 + 1.6X = 12

Solving for variable 'X'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 1.6X = 12 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 1.6X = 12 + 5.5
1.6X = 12 + 5.5

Combine like terms: 12 + 5.5 = 17.5
1.6X = 17.5

Divide each side by '1.6'.
X = 10.9375

Simplifying
X = 10.9375

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