12(.75x-.5)=8(.5x-1)

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Solution for 12(.75x-.5)=8(.5x-1) equation:


Simplifying
12(0.75x + -0.5) = 8(0.5x + -1)

Reorder the terms:
12(-0.5 + 0.75x) = 8(0.5x + -1)
(-0.5 * 12 + 0.75x * 12) = 8(0.5x + -1)
(-6 + 9x) = 8(0.5x + -1)

Reorder the terms:
-6 + 9x = 8(-1 + 0.5x)
-6 + 9x = (-1 * 8 + 0.5x * 8)
-6 + 9x = (-8 + 4x)

Solving
-6 + 9x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 9x + -4x = -8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-6 + 5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 5x = -8 + 0
-6 + 5x = -8

Add '6' to each side of the equation.
-6 + 6 + 5x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -8 + 6
5x = -8 + 6

Combine like terms: -8 + 6 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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