80*x+150*(480-x)=51000

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Solution for 80*x+150*(480-x)=51000 equation:


Simplifying
80x + 150(480 + -1x) = 51000
80x + (480 * 150 + -1x * 150) = 51000
80x + (72000 + -150x) = 51000

Reorder the terms:
72000 + 80x + -150x = 51000

Combine like terms: 80x + -150x = -70x
72000 + -70x = 51000

Solving
72000 + -70x = 51000

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 + -70x = 51000 + -72000

Combine like terms: 72000 + -72000 = 0
0 + -70x = 51000 + -72000
-70x = 51000 + -72000

Combine like terms: 51000 + -72000 = -21000
-70x = -21000

Divide each side by '-70'.
x = 300

Simplifying
x = 300

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