.33x+.5=3x-16

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Solution for .33x+.5=3x-16 equation:


Simplifying
0.33x + 0.5 = 3x + -16

Reorder the terms:
0.5 + 0.33x = 3x + -16

Reorder the terms:
0.5 + 0.33x = -16 + 3x

Solving
0.5 + 0.33x = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0.5 + 0.33x + -3x = -16 + 3x + -3x

Combine like terms: 0.33x + -3x = -2.67x
0.5 + -2.67x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.5 + -2.67x = -16 + 0
0.5 + -2.67x = -16

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -2.67x = -16 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2.67x = -16 + -0.5
-2.67x = -16 + -0.5

Combine like terms: -16 + -0.5 = -16.5
-2.67x = -16.5

Divide each side by '-2.67'.
x = 6.179775281

Simplifying
x = 6.179775281

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