5c-4(2c-6)=3(4c+5)

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Solution for 5c-4(2c-6)=3(4c+5) equation:


Simplifying
5c + -4(2c + -6) = 3(4c + 5)

Reorder the terms:
5c + -4(-6 + 2c) = 3(4c + 5)
5c + (-6 * -4 + 2c * -4) = 3(4c + 5)
5c + (24 + -8c) = 3(4c + 5)

Reorder the terms:
24 + 5c + -8c = 3(4c + 5)

Combine like terms: 5c + -8c = -3c
24 + -3c = 3(4c + 5)

Reorder the terms:
24 + -3c = 3(5 + 4c)
24 + -3c = (5 * 3 + 4c * 3)
24 + -3c = (15 + 12c)

Solving
24 + -3c = 15 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
24 + -3c + -12c = 15 + 12c + -12c

Combine like terms: -3c + -12c = -15c
24 + -15c = 15 + 12c + -12c

Combine like terms: 12c + -12c = 0
24 + -15c = 15 + 0
24 + -15c = 15

Add '-24' to each side of the equation.
24 + -24 + -15c = 15 + -24

Combine like terms: 24 + -24 = 0
0 + -15c = 15 + -24
-15c = 15 + -24

Combine like terms: 15 + -24 = -9
-15c = -9

Divide each side by '-15'.
c = 0.6

Simplifying
c = 0.6

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