.25(50)+.05c=.15(50+c)

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Solution for .25(50)+.05c=.15(50+c) equation: 


Simplifying
0.25(50) + 0.05c = 0.15(50 + c)

Multiply 0.25 * 50
12.5 + 0.05c = 0.15(50 + c)
12.5 + 0.05c = (50 * 0.15 + c * 0.15)
12.5 + 0.05c = (7.5 + 0.15c)

Solving
12.5 + 0.05c = 7.5 + 0.15c

Solving for variable 'c'.

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

Add '-0.15c' to each side of the equation.
12.5 + 0.05c + -0.15c = 7.5 + 0.15c + -0.15c

Combine like terms: 0.05c + -0.15c = -0.1c
12.5 + -0.1c = 7.5 + 0.15c + -0.15c

Combine like terms: 0.15c + -0.15c = 0.00
12.5 + -0.1c = 7.5 + 0.00
12.5 + -0.1c = 7.5

Add '-12.5' to each side of the equation.
12.5 + -12.5 + -0.1c = 7.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -0.1c = 7.5 + -12.5
-0.1c = 7.5 + -12.5

Combine like terms: 7.5 + -12.5 = -5
-0.1c = -5

Divide each side by '-0.1'.
c = 50

Simplifying
c = 50

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