.75(x-8)=.50(2x+4)

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Solution for .75(x-8)=.50(2x+4) equation:


Simplifying
0.75(x + -8) = 0.50(2x + 4)

Reorder the terms:
0.75(-8 + x) = 0.50(2x + 4)
(-8 * 0.75 + x * 0.75) = 0.50(2x + 4)
(-6 + 0.75x) = 0.50(2x + 4)

Reorder the terms:
-6 + 0.75x = 0.50(4 + 2x)
-6 + 0.75x = (4 * 0.50 + 2x * 0.50)
-6 + 0.75x = (2 + 1x)

Solving
-6 + 0.75x = 2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 0.75x + -1x = 2 + 1x + -1x

Combine like terms: 0.75x + -1x = -0.25x
-6 + -0.25x = 2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + -0.25x = 2 + 0
-6 + -0.25x = 2

Add '6' to each side of the equation.
-6 + 6 + -0.25x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -0.25x = 2 + 6
-0.25x = 2 + 6

Combine like terms: 2 + 6 = 8
-0.25x = 8

Divide each side by '-0.25'.
x = -32

Simplifying
x = -32

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