32=3+7(c-5)

Solution for 32=3+7(c-5) equation:

Simplifying
32 = 3 + 7(c + -5)

Reorder the terms:
32 = 3 + 7(-5 + c)
32 = 3 + (-5 * 7 + c * 7)
32 = 3 + (-35 + 7c)

Combine like terms: 3 + -35 = -32
32 = -32 + 7c

Solving
32 = -32 + 7c

Solving for variable 'c'.

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

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

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

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

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

Combine like terms: -32 + -32 = -64
-7c = -64

Divide each side by '-7'.
c = 9.142857143

Simplifying
c = 9.142857143