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

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


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

Reorder the terms:
6(-5 + 3c) = 4(4c + 5)
(-5 * 6 + 3c * 6) = 4(4c + 5)
(-30 + 18c) = 4(4c + 5)

Reorder the terms:
-30 + 18c = 4(5 + 4c)
-30 + 18c = (5 * 4 + 4c * 4)
-30 + 18c = (20 + 16c)

Solving
-30 + 18c = 20 + 16c

Solving for variable 'c'.

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

Add '-16c' to each side of the equation.
-30 + 18c + -16c = 20 + 16c + -16c

Combine like terms: 18c + -16c = 2c
-30 + 2c = 20 + 16c + -16c

Combine like terms: 16c + -16c = 0
-30 + 2c = 20 + 0
-30 + 2c = 20

Add '30' to each side of the equation.
-30 + 30 + 2c = 20 + 30

Combine like terms: -30 + 30 = 0
0 + 2c = 20 + 30
2c = 20 + 30

Combine like terms: 20 + 30 = 50
2c = 50

Divide each side by '2'.
c = 25

Simplifying
c = 25

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