.12p+.05(5000-p)=460

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Solution for .12p+.05(5000-p)=460 equation:


Simplifying
0.12p + 0.05(5000 + -1p) = 460
0.12p + (5000 * 0.05 + -1p * 0.05) = 460
0.12p + (250 + -0.05p) = 460

Reorder the terms:
250 + 0.12p + -0.05p = 460

Combine like terms: 0.12p + -0.05p = 0.07p
250 + 0.07p = 460

Solving
250 + 0.07p = 460

Solving for variable 'p'.

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

Add '-250' to each side of the equation.
250 + -250 + 0.07p = 460 + -250

Combine like terms: 250 + -250 = 0
0 + 0.07p = 460 + -250
0.07p = 460 + -250

Combine like terms: 460 + -250 = 210
0.07p = 210

Divide each side by '0.07'.
p = 3000

Simplifying
p = 3000

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