.33(x+2)=.75x-8

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Solution for .33(x+2)=.75x-8 equation: 


Simplifying
0.33(x + 2) = 0.75x + -8

Reorder the terms:
0.33(2 + x) = 0.75x + -8
(2 * 0.33 + x * 0.33) = 0.75x + -8
(0.66 + 0.33x) = 0.75x + -8

Reorder the terms:
0.66 + 0.33x = -8 + 0.75x

Solving
0.66 + 0.33x = -8 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
0.66 + 0.33x + -0.75x = -8 + 0.75x + -0.75x

Combine like terms: 0.33x + -0.75x = -0.42x
0.66 + -0.42x = -8 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
0.66 + -0.42x = -8 + 0.00
0.66 + -0.42x = -8

Add '-0.66' to each side of the equation.
0.66 + -0.66 + -0.42x = -8 + -0.66

Combine like terms: 0.66 + -0.66 = 0.00
0.00 + -0.42x = -8 + -0.66
-0.42x = -8 + -0.66

Combine like terms: -8 + -0.66 = -8.66
-0.42x = -8.66

Divide each side by '-0.42'.
x = 20.61904762

Simplifying
x = 20.61904762

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