2(3c-6)=5c+8

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Solution for 2(3c-6)=5c+8 equation:


Simplifying
2(3c + -6) = 5c + 8

Reorder the terms:
2(-6 + 3c) = 5c + 8
(-6 * 2 + 3c * 2) = 5c + 8
(-12 + 6c) = 5c + 8

Reorder the terms:
-12 + 6c = 8 + 5c

Solving
-12 + 6c = 8 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-12 + 6c + -5c = 8 + 5c + -5c

Combine like terms: 6c + -5c = 1c
-12 + 1c = 8 + 5c + -5c

Combine like terms: 5c + -5c = 0
-12 + 1c = 8 + 0
-12 + 1c = 8

Add '12' to each side of the equation.
-12 + 12 + 1c = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 1c = 8 + 12
1c = 8 + 12

Combine like terms: 8 + 12 = 20
1c = 20

Divide each side by '1'.
c = 20

Simplifying
c = 20

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