10(5c-1)-10=48c+10

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Solution for 10(5c-1)-10=48c+10 equation: 


Simplifying
10(5c + -1) + -10 = 48c + 10

Reorder the terms:
10(-1 + 5c) + -10 = 48c + 10
(-1 * 10 + 5c * 10) + -10 = 48c + 10
(-10 + 50c) + -10 = 48c + 10

Reorder the terms:
-10 + -10 + 50c = 48c + 10

Combine like terms: -10 + -10 = -20
-20 + 50c = 48c + 10

Reorder the terms:
-20 + 50c = 10 + 48c

Solving
-20 + 50c = 10 + 48c

Solving for variable 'c'.

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

Add '-48c' to each side of the equation.
-20 + 50c + -48c = 10 + 48c + -48c

Combine like terms: 50c + -48c = 2c
-20 + 2c = 10 + 48c + -48c

Combine like terms: 48c + -48c = 0
-20 + 2c = 10 + 0
-20 + 2c = 10

Add '20' to each side of the equation.
-20 + 20 + 2c = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 2c = 10 + 20
2c = 10 + 20

Combine like terms: 10 + 20 = 30
2c = 30

Divide each side by '2'.
c = 15

Simplifying
c = 15

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