7(3c-5)=3(6c-11)

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Solution for 7(3c-5)=3(6c-11) equation:


Simplifying
7(3c + -5) = 3(6c + -11)

Reorder the terms:
7(-5 + 3c) = 3(6c + -11)
(-5 * 7 + 3c * 7) = 3(6c + -11)
(-35 + 21c) = 3(6c + -11)

Reorder the terms:
-35 + 21c = 3(-11 + 6c)
-35 + 21c = (-11 * 3 + 6c * 3)
-35 + 21c = (-33 + 18c)

Solving
-35 + 21c = -33 + 18c

Solving for variable 'c'.

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

Add '-18c' to each side of the equation.
-35 + 21c + -18c = -33 + 18c + -18c

Combine like terms: 21c + -18c = 3c
-35 + 3c = -33 + 18c + -18c

Combine like terms: 18c + -18c = 0
-35 + 3c = -33 + 0
-35 + 3c = -33

Add '35' to each side of the equation.
-35 + 35 + 3c = -33 + 35

Combine like terms: -35 + 35 = 0
0 + 3c = -33 + 35
3c = -33 + 35

Combine like terms: -33 + 35 = 2
3c = 2

Divide each side by '3'.
c = 0.6666666667

Simplifying
c = 0.6666666667

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