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

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


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

Reorder the terms:
(-2 + x)(0.75) = x(0.5)

Reorder the terms for easier multiplication:
0.75(-2 + x) = x(0.5)
(-2 * 0.75 + x * 0.75) = x(0.5)
(-1.5 + 0.75x) = x(0.5)

Reorder the terms for easier multiplication:
-1.5 + 0.75x = 0.5x

Solving
-1.5 + 0.75x = 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1.5 + 0.75x + -0.5x = 0.5x + -0.5x

Combine like terms: 0.75x + -0.5x = 0.25x
-1.5 + 0.25x = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.5 + 0.25x = 0.0

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.25x = 0.0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.25x = 0.0 + 1.5
0.25x = 0.0 + 1.5

Combine like terms: 0.0 + 1.5 = 1.5
0.25x = 1.5

Divide each side by '0.25'.
x = 6

Simplifying
x = 6

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