Question

Solve the equation and check.

37x + 16 = 6(6x + 6)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
OC. There is no solution.

Answer 1

x = 20.

Explanation:

37x + 16 = 6(6x + 6)

Distribute.

37x + 16 = 36x + 36

Subtract 36x from both sides.

x + 16 = 36

Subtract 16 from both sides.

x = 20.

The solution is 20.

Proof

37x + 16 = 6(6x + 6)

37(20) + 16 = 6(6(20) + 6)

740 + 16 = 6(120 + 6)

756 = 6(126)

756 = 756.