4(3c-2)=5(3c+1)

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Solution for 4(3c-2)=5(3c+1) equation:


Simplifying
4(3c + -2) = 5(3c + 1)

Reorder the terms:
4(-2 + 3c) = 5(3c + 1)
(-2 * 4 + 3c * 4) = 5(3c + 1)
(-8 + 12c) = 5(3c + 1)

Reorder the terms:
-8 + 12c = 5(1 + 3c)
-8 + 12c = (1 * 5 + 3c * 5)
-8 + 12c = (5 + 15c)

Solving
-8 + 12c = 5 + 15c

Solving for variable 'c'.

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

Add '-15c' to each side of the equation.
-8 + 12c + -15c = 5 + 15c + -15c

Combine like terms: 12c + -15c = -3c
-8 + -3c = 5 + 15c + -15c

Combine like terms: 15c + -15c = 0
-8 + -3c = 5 + 0
-8 + -3c = 5

Add '8' to each side of the equation.
-8 + 8 + -3c = 5 + 8

Combine like terms: -8 + 8 = 0
0 + -3c = 5 + 8
-3c = 5 + 8

Combine like terms: 5 + 8 = 13
-3c = 13

Divide each side by '-3'.
c = -4.333333333

Simplifying
c = -4.333333333

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