5(2+c)=6(2+c)

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


Simplifying
5(2 + c) = 6(2 + c)
(2 * 5 + c * 5) = 6(2 + c)
(10 + 5c) = 6(2 + c)
10 + 5c = (2 * 6 + c * 6)
10 + 5c = (12 + 6c)

Solving
10 + 5c = 12 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
10 + 5c + -6c = 12 + 6c + -6c

Combine like terms: 5c + -6c = -1c
10 + -1c = 12 + 6c + -6c

Combine like terms: 6c + -6c = 0
10 + -1c = 12 + 0
10 + -1c = 12

Add '-10' to each side of the equation.
10 + -10 + -1c = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -1c = 12 + -10
-1c = 12 + -10

Combine like terms: 12 + -10 = 2
-1c = 2

Divide each side by '-1'.
c = -2

Simplifying
c = -2

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