10(5c-1)-4=48c+10

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Solution for 10(5c-1)-4=48c+10 equation: 


Simplifying
10(5c + -1) + -4 = 48c + 10

Reorder the terms:
10(-1 + 5c) + -4 = 48c + 10
(-1 * 10 + 5c * 10) + -4 = 48c + 10
(-10 + 50c) + -4 = 48c + 10

Reorder the terms:
-10 + -4 + 50c = 48c + 10

Combine like terms: -10 + -4 = -14
-14 + 50c = 48c + 10

Reorder the terms:
-14 + 50c = 10 + 48c

Solving
-14 + 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.
-14 + 50c + -48c = 10 + 48c + -48c

Combine like terms: 50c + -48c = 2c
-14 + 2c = 10 + 48c + -48c

Combine like terms: 48c + -48c = 0
-14 + 2c = 10 + 0
-14 + 2c = 10

Add '14' to each side of the equation.
-14 + 14 + 2c = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 2c = 10 + 14
2c = 10 + 14

Combine like terms: 10 + 14 = 24
2c = 24

Divide each side by '2'.
c = 12

Simplifying
c = 12

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