12(2c+10)=3(13c-7)

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Solution for 12(2c+10)=3(13c-7) equation: 


Simplifying
12(2c + 10) = 3(13c + -7)

Reorder the terms:
12(10 + 2c) = 3(13c + -7)
(10 * 12 + 2c * 12) = 3(13c + -7)
(120 + 24c) = 3(13c + -7)

Reorder the terms:
120 + 24c = 3(-7 + 13c)
120 + 24c = (-7 * 3 + 13c * 3)
120 + 24c = (-21 + 39c)

Solving
120 + 24c = -21 + 39c

Solving for variable 'c'.

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

Add '-39c' to each side of the equation.
120 + 24c + -39c = -21 + 39c + -39c

Combine like terms: 24c + -39c = -15c
120 + -15c = -21 + 39c + -39c

Combine like terms: 39c + -39c = 0
120 + -15c = -21 + 0
120 + -15c = -21

Add '-120' to each side of the equation.
120 + -120 + -15c = -21 + -120

Combine like terms: 120 + -120 = 0
0 + -15c = -21 + -120
-15c = -21 + -120

Combine like terms: -21 + -120 = -141
-15c = -141

Divide each side by '-15'.
c = 9.4

Simplifying
c = 9.4

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