45-(2c+3)=4(c+7)+c

Solution for 45-(2c+3)=4(c+7)+c equation:

Simplifying
45 + -1(2c + 3) = 4(c + 7) + c

Reorder the terms:
45 + -1(3 + 2c) = 4(c + 7) + c
45 + (3 * -1 + 2c * -1) = 4(c + 7) + c
45 + (-3 + -2c) = 4(c + 7) + c

Combine like terms: 45 + -3 = 42
42 + -2c = 4(c + 7) + c

Reorder the terms:
42 + -2c = 4(7 + c) + c
42 + -2c = (7 * 4 + c * 4) + c
42 + -2c = (28 + 4c) + c

Combine like terms: 4c + c = 5c
42 + -2c = 28 + 5c

Solving
42 + -2c = 28 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
42 + -2c + -5c = 28 + 5c + -5c

Combine like terms: -2c + -5c = -7c
42 + -7c = 28 + 5c + -5c

Combine like terms: 5c + -5c = 0
42 + -7c = 28 + 0
42 + -7c = 28

Add '-42' to each side of the equation.
42 + -42 + -7c = 28 + -42

Combine like terms: 42 + -42 = 0
0 + -7c = 28 + -42
-7c = 28 + -42

Combine like terms: 28 + -42 = -14
-7c = -14

Divide each side by '-7'.
c = 2

Simplifying
c = 2