Answer:
x = 4
Explanation:
6x + 13 = 37
(given)
6x + 13 = 37
- 13 - 13
(subtraction property of equality; cancel out the constant term of the left side by subtracting 13 from both sides so 6x is by itself)
6x = 24
÷6 ÷6
(division property of equality; divide both sides by 6 to cancel out the coefficient in 6x in order to solve for x)
x = 4
(this is the solution to the equation)
______________________________
Proof:
Substitute this answer back into the equation in order to verify that the solution forms a true equation.
x = 4 → 6(x) + 13 = 37 → 6(4) + 13 = 37 → 24 + 13 = 37 → 37 = 37