.5(x-5)=.33(2x-1)

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Solution for .5(x-5)=.33(2x-1) equation:


Simplifying
0.5(x + -5) = 0.33(2x + -1)

Reorder the terms:
0.5(-5 + x) = 0.33(2x + -1)
(-5 * 0.5 + x * 0.5) = 0.33(2x + -1)
(-2.5 + 0.5x) = 0.33(2x + -1)

Reorder the terms:
-2.5 + 0.5x = 0.33(-1 + 2x)
-2.5 + 0.5x = (-1 * 0.33 + 2x * 0.33)
-2.5 + 0.5x = (-0.33 + 0.66x)

Solving
-2.5 + 0.5x = -0.33 + 0.66x

Solving for variable 'x'.

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

Add '-0.66x' to each side of the equation.
-2.5 + 0.5x + -0.66x = -0.33 + 0.66x + -0.66x

Combine like terms: 0.5x + -0.66x = -0.16x
-2.5 + -0.16x = -0.33 + 0.66x + -0.66x

Combine like terms: 0.66x + -0.66x = 0.00
-2.5 + -0.16x = -0.33 + 0.00
-2.5 + -0.16x = -0.33

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.16x = -0.33 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.16x = -0.33 + 2.5
-0.16x = -0.33 + 2.5

Combine like terms: -0.33 + 2.5 = 2.17
-0.16x = 2.17

Divide each side by '-0.16'.
x = -13.5625

Simplifying
x = -13.5625

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