-.25(x-8)+.5(x+2)=x-3

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Solution for -.25(x-8)+.5(x+2)=x-3 equation:


Simplifying
-0.25(x + -8) + 0.5(x + 2) = x + -3

Reorder the terms:
-0.25(-8 + x) + 0.5(x + 2) = x + -3
(-8 * -0.25 + x * -0.25) + 0.5(x + 2) = x + -3
(2 + -0.25x) + 0.5(x + 2) = x + -3

Reorder the terms:
2 + -0.25x + 0.5(2 + x) = x + -3
2 + -0.25x + (2 * 0.5 + x * 0.5) = x + -3
2 + -0.25x + (1 + 0.5x) = x + -3

Reorder the terms:
2 + 1 + -0.25x + 0.5x = x + -3

Combine like terms: 2 + 1 = 3
3 + -0.25x + 0.5x = x + -3

Combine like terms: -0.25x + 0.5x = 0.25x
3 + 0.25x = x + -3

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

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

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

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

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

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

Combine like terms: -3 + -3 = -6
-0.75x = -6

Divide each side by '-0.75'.
x = 8

Simplifying
x = 8

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