Question

44 - (2c + 3) = 4(c + 5) + c solve the equation

Answer 1

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