x(0.07)+(80000-x)(0.9)=6000

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Solution for x(0.07)+(80000-x)(0.9)=6000 equation:


Simplifying
x(0.07) + (80000 + -1x)(0.9) = 6000

Reorder the terms for easier multiplication:
0.07x + (80000 + -1x)(0.9) = 6000

Reorder the terms for easier multiplication:
0.07x + 0.9(80000 + -1x) = 6000
0.07x + (80000 * 0.9 + -1x * 0.9) = 6000
0.07x + (72000 + -0.9x) = 6000

Reorder the terms:
72000 + 0.07x + -0.9x = 6000

Combine like terms: 0.07x + -0.9x = -0.83x
72000 + -0.83x = 6000

Solving
72000 + -0.83x = 6000

Solving for variable 'x'.

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

Add '-72000' to each side of the equation.
72000 + -72000 + -0.83x = 6000 + -72000

Combine like terms: 72000 + -72000 = 0
0 + -0.83x = 6000 + -72000
-0.83x = 6000 + -72000

Combine like terms: 6000 + -72000 = -66000
-0.83x = -66000

Divide each side by '-0.83'.
x = 79518.07229

Simplifying
x = 79518.07229

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