.33(2x+9)=.2(5x-4)

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Solution for .33(2x+9)=.2(5x-4) equation: 


Simplifying
0.33(2x + 9) = 0.2(5x + -4)

Reorder the terms:
0.33(9 + 2x) = 0.2(5x + -4)
(9 * 0.33 + 2x * 0.33) = 0.2(5x + -4)
(2.97 + 0.66x) = 0.2(5x + -4)

Reorder the terms:
2.97 + 0.66x = 0.2(-4 + 5x)
2.97 + 0.66x = (-4 * 0.2 + 5x * 0.2)
2.97 + 0.66x = (-0.8 + 1x)

Solving
2.97 + 0.66x = -0.8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.97 + 0.66x + -1x = -0.8 + 1x + -1x

Combine like terms: 0.66x + -1x = -0.34x
2.97 + -0.34x = -0.8 + 1x + -1x

Combine like terms: 1x + -1x = 0
2.97 + -0.34x = -0.8 + 0
2.97 + -0.34x = -0.8

Add '-2.97' to each side of the equation.
2.97 + -2.97 + -0.34x = -0.8 + -2.97

Combine like terms: 2.97 + -2.97 = 0.00
0.00 + -0.34x = -0.8 + -2.97
-0.34x = -0.8 + -2.97

Combine like terms: -0.8 + -2.97 = -3.77
-0.34x = -3.77

Divide each side by '-0.34'.
x = 11.08823529

Simplifying
x = 11.08823529

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