-.75(x-8)+.50(x+2)=x+6

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Solution for -.75(x-8)+.50(x+2)=x+6 equation:


Simplifying
-0.75(x + -8) + 0.50(x + 2) = x + 6

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

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

Reorder the terms:
6 + 1 + -0.75x + 0.50x = x + 6

Combine like terms: 6 + 1 = 7
7 + -0.75x + 0.50x = x + 6

Combine like terms: -0.75x + 0.50x = -0.25x
7 + -0.25x = x + 6

Reorder the terms:
7 + -0.25x = 6 + x

Solving
7 + -0.25x = 6 + x

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.
7 + -0.25x + -1x = 6 + x + -1x

Combine like terms: -0.25x + -1x = -1.25x
7 + -1.25x = 6 + x + -1x

Combine like terms: x + -1x = 0
7 + -1.25x = 6 + 0
7 + -1.25x = 6

Add '-7' to each side of the equation.
7 + -7 + -1.25x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -1.25x = 6 + -7
-1.25x = 6 + -7

Combine like terms: 6 + -7 = -1
-1.25x = -1

Divide each side by '-1.25'.
x = 0.8

Simplifying
x = 0.8

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