0.33(3x-27)+x=.20(100)+.50(2)

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Solution for 0.33(3x-27)+x=.20(100)+.50(2) equation: 


Simplifying
0.33(3x + -27) + x = 0.20(100) + 0.50(2)

Reorder the terms:
0.33(-27 + 3x) + x = 0.20(100) + 0.50(2)
(-27 * 0.33 + 3x * 0.33) + x = 0.20(100) + 0.50(2)
(-8.91 + 0.99x) + x = 0.20(100) + 0.50(2)

Combine like terms: 0.99x + x = 1.99x
-8.91 + 1.99x = 0.20(100) + 0.50(2)

Multiply 0.20 * 100
-8.91 + 1.99x = 20 + 0.50(2)

Multiply 0.50 * 2
-8.91 + 1.99x = 20 + 1

Combine like terms: 20 + 1 = 21
-8.91 + 1.99x = 21

Solving
-8.91 + 1.99x = 21

Solving for variable 'x'.

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

Add '8.91' to each side of the equation.
-8.91 + 8.91 + 1.99x = 21 + 8.91

Combine like terms: -8.91 + 8.91 = 0.00
0.00 + 1.99x = 21 + 8.91
1.99x = 21 + 8.91

Combine like terms: 21 + 8.91 = 29.91
1.99x = 29.91

Divide each side by '1.99'.
x = 15.03015075

Simplifying
x = 15.03015075

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