.5(x-8)+4=.75(x+2)-1

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Solution for .5(x-8)+4=.75(x+2)-1 equation: 


Simplifying
0.5(x + -8) + 4 = 0.75(x + 2) + -1

Reorder the terms:
0.5(-8 + x) + 4 = 0.75(x + 2) + -1
(-8 * 0.5 + x * 0.5) + 4 = 0.75(x + 2) + -1
(-4 + 0.5x) + 4 = 0.75(x + 2) + -1

Reorder the terms:
-4 + 4 + 0.5x = 0.75(x + 2) + -1

Combine like terms: -4 + 4 = 0
0 + 0.5x = 0.75(x + 2) + -1
0.5x = 0.75(x + 2) + -1

Reorder the terms:
0.5x = 0.75(2 + x) + -1
0.5x = (2 * 0.75 + x * 0.75) + -1
0.5x = (1.5 + 0.75x) + -1

Reorder the terms:
0.5x = 1.5 + -1 + 0.75x

Combine like terms: 1.5 + -1 = 0.5
0.5x = 0.5 + 0.75x

Solving
0.5x = 0.5 + 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.
0.5x + -0.75x = 0.5 + 0.75x + -0.75x

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

Combine like terms: 0.75x + -0.75x = 0.00
-0.25x = 0.5 + 0.00
-0.25x = 0.5

Divide each side by '-0.25'.
x = -2

Simplifying
x = -2

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