### Home > MC2 > Chapter 6 > Lesson 6.2.5 > Problem 6-115

6-115.

Subtract 2*x* from both sides to move the variable onto one side of the equation.

2*x* + 16 = 5*x* + 4

− 2*x* − 2*x*

16 = 3*x* + 4

Isolate the variable by subtractingboth sides by 4.

16 = 3*x* + 4

−4 −4

12 = 3*x*

Finally, divide both sides by 3.

Check your answer.

Follow the method presented in part (a). Check your answering using the method presented in part (b).

Follow the method presented in part (a).

*x* = 19

Substitute 19 back into the equation.

3 (19) − 5 = 2 (19) + 14

Simplify.

57 − 5 = 38 + 14

52 = 52

If both sides of the equation are equal, your answer is correct.