Equation: 44 - (2c + 3) = 4(c + 5) +c
Step 1: 44 - 2c - 3 = 4(c + 5) + c
When there is a in front of an expression in parentheses, change the sign of each term in the expression
Step 2: 44 - 2c - 3 = 4c + 20 + c
Distribute through the parentheses
Step 3: 41 - 2c = 4c + 20 + c
Subract the numbers
Step 4: 41 - 2c = 5c + 20
Collect the terms
Step 5: 41 - 2c - 5c = 20
Move variable to the left-hand side and change its sign
Step 6: -2c - 5c = 20 - 41
Move constant to the right-hand side and change its sign
Step 7: -7c = 20 - 41
Collect the terms
Step 8: -7c = -21
Calculate the difference
Lastly: Divide both sides of the equation by -7
c=3