-.25(x-8)+.50(x+2)=x-15

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Solution for -.25(x-8)+.50(x+2)=x-15 equation:


Simplifying
-0.25(x + -8) + 0.50(x + 2) = x + -15

Reorder the terms:
-0.25(-8 + x) + 0.50(x + 2) = x + -15
(-8 * -0.25 + x * -0.25) + 0.50(x + 2) = x + -15
(2 + -0.25x) + 0.50(x + 2) = x + -15

Reorder the terms:
2 + -0.25x + 0.50(2 + x) = x + -15
2 + -0.25x + (2 * 0.50 + x * 0.50) = x + -15
2 + -0.25x + (1 + 0.50x) = x + -15

Reorder the terms:
2 + 1 + -0.25x + 0.50x = x + -15

Combine like terms: 2 + 1 = 3
3 + -0.25x + 0.50x = x + -15

Combine like terms: -0.25x + 0.50x = 0.25x
3 + 0.25x = x + -15

Reorder the terms:
3 + 0.25x = -15 + x

Solving
3 + 0.25x = -15 + 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.
3 + 0.25x + -1x = -15 + x + -1x

Combine like terms: 0.25x + -1x = -0.75x
3 + -0.75x = -15 + x + -1x

Combine like terms: x + -1x = 0
3 + -0.75x = -15 + 0
3 + -0.75x = -15

Add '-3' to each side of the equation.
3 + -3 + -0.75x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -0.75x = -15 + -3
-0.75x = -15 + -3

Combine like terms: -15 + -3 = -18
-0.75x = -18

Divide each side by '-0.75'.
x = 24

Simplifying
x = 24

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