7(c+5)=3c+51

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Solution for 7(c+5)=3c+51 equation:


Simplifying
7(c + 5) = 3c + 51

Reorder the terms:
7(5 + c) = 3c + 51
(5 * 7 + c * 7) = 3c + 51
(35 + 7c) = 3c + 51

Reorder the terms:
35 + 7c = 51 + 3c

Solving
35 + 7c = 51 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
35 + 7c + -3c = 51 + 3c + -3c

Combine like terms: 7c + -3c = 4c
35 + 4c = 51 + 3c + -3c

Combine like terms: 3c + -3c = 0
35 + 4c = 51 + 0
35 + 4c = 51

Add '-35' to each side of the equation.
35 + -35 + 4c = 51 + -35

Combine like terms: 35 + -35 = 0
0 + 4c = 51 + -35
4c = 51 + -35

Combine like terms: 51 + -35 = 16
4c = 16

Divide each side by '4'.
c = 4

Simplifying
c = 4

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