(100000-x)(.04)+2(100000-X)(.06)=960

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Solution for (100000-x)(.04)+2(100000-X)(.06)=960 equation: 


Simplifying
(100000 + -1x)(0.04) + 2(100000 + -1X)(0.06) = 960

Reorder the terms for easier multiplication:
0.04(100000 + -1x) + 2(100000 + -1X)(0.06) = 960
(100000 * 0.04 + -1x * 0.04) + 2(100000 + -1X)(0.06) = 960
(4000 + -0.04x) + 2(100000 + -1X)(0.06) = 960

Reorder the terms for easier multiplication:
4000 + -0.04x + 2 * 0.06(100000 + -1X) = 960

Multiply 2 * 0.06
4000 + -0.04x + 0.12(100000 + -1X) = 960
4000 + -0.04x + (100000 * 0.12 + -1X * 0.12) = 960
4000 + -0.04x + (12000 + -0.12X) = 960

Reorder the terms:
4000 + 12000 + -0.12X + -0.04x = 960

Combine like terms: 4000 + 12000 = 16000
16000 + -0.12X + -0.04x = 960

Solving
16000 + -0.12X + -0.04x = 960

Solving for variable 'X'.

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

Add '-16000' to each side of the equation.
16000 + -0.12X + -16000 + -0.04x = 960 + -16000

Reorder the terms:
16000 + -16000 + -0.12X + -0.04x = 960 + -16000

Combine like terms: 16000 + -16000 = 0
0 + -0.12X + -0.04x = 960 + -16000
-0.12X + -0.04x = 960 + -16000

Combine like terms: 960 + -16000 = -15040
-0.12X + -0.04x = -15040

Add '0.04x' to each side of the equation.
-0.12X + -0.04x + 0.04x = -15040 + 0.04x

Combine like terms: -0.04x + 0.04x = 0.00
-0.12X + 0.00 = -15040 + 0.04x
-0.12X = -15040 + 0.04x

Divide each side by '-0.12'.
X = 125333.3333 + -0.3333333333x

Simplifying
X = 125333.3333 + -0.3333333333x

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