.5(.66x-5)=.75x+2

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Solution for .5(.66x-5)=.75x+2 equation:


Simplifying
0.5(0.66x + -5) = 0.75x + 2

Reorder the terms:
0.5(-5 + 0.66x) = 0.75x + 2
(-5 * 0.5 + 0.66x * 0.5) = 0.75x + 2
(-2.5 + 0.33x) = 0.75x + 2

Reorder the terms:
-2.5 + 0.33x = 2 + 0.75x

Solving
-2.5 + 0.33x = 2 + 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.
-2.5 + 0.33x + -0.75x = 2 + 0.75x + -0.75x

Combine like terms: 0.33x + -0.75x = -0.42x
-2.5 + -0.42x = 2 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-2.5 + -0.42x = 2 + 0.00
-2.5 + -0.42x = 2

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.42x = 2 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.42x = 2 + 2.5
-0.42x = 2 + 2.5

Combine like terms: 2 + 2.5 = 4.5
-0.42x = 4.5

Divide each side by '-0.42'.
x = -10.71428571

Simplifying
x = -10.71428571

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