36-(3c+4)=3(c+7)+c

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Solution for 36-(3c+4)=3(c+7)+c equation: 


Simplifying
36 + -1(3c + 4) = 3(c + 7) + c

Reorder the terms:
36 + -1(4 + 3c) = 3(c + 7) + c
36 + (4 * -1 + 3c * -1) = 3(c + 7) + c
36 + (-4 + -3c) = 3(c + 7) + c

Combine like terms: 36 + -4 = 32
32 + -3c = 3(c + 7) + c

Reorder the terms:
32 + -3c = 3(7 + c) + c
32 + -3c = (7 * 3 + c * 3) + c
32 + -3c = (21 + 3c) + c

Combine like terms: 3c + c = 4c
32 + -3c = 21 + 4c

Solving
32 + -3c = 21 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
32 + -3c + -4c = 21 + 4c + -4c

Combine like terms: -3c + -4c = -7c
32 + -7c = 21 + 4c + -4c

Combine like terms: 4c + -4c = 0
32 + -7c = 21 + 0
32 + -7c = 21

Add '-32' to each side of the equation.
32 + -32 + -7c = 21 + -32

Combine like terms: 32 + -32 = 0
0 + -7c = 21 + -32
-7c = 21 + -32

Combine like terms: 21 + -32 = -11
-7c = -11

Divide each side by '-7'.
c = 1.571428571

Simplifying
c = 1.571428571

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