(x)(63)+(1-x)(65)=63.5

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Solution for (x)(63)+(1-x)(65)=63.5 equation: 


Simplifying
(x)(63) + (1 + -1x)(65) = 63.5

Reorder the terms for easier multiplication:
63x + (1 + -1x)(65) = 63.5

Reorder the terms for easier multiplication:
63x + 65(1 + -1x) = 63.5
63x + (1 * 65 + -1x * 65) = 63.5
63x + (65 + -65x) = 63.5

Reorder the terms:
65 + 63x + -65x = 63.5

Combine like terms: 63x + -65x = -2x
65 + -2x = 63.5

Solving
65 + -2x = 63.5

Solving for variable 'x'.

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

Add '-65' to each side of the equation.
65 + -65 + -2x = 63.5 + -65

Combine like terms: 65 + -65 = 0
0 + -2x = 63.5 + -65
-2x = 63.5 + -65

Combine like terms: 63.5 + -65 = -1.5
-2x = -1.5

Divide each side by '-2'.
x = 0.75

Simplifying
x = 0.75

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