### Home > MC2 > Chapter 6 > Lesson 6.2.5 > Problem6-115

6-115.

Solve the following equations using any method. Show your work and check your solution.

1. $2x + 16 = 5x + 4$

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

$2x + 16 = 5x + 4$
$− 2x − 2x$
$16 = 3x + 4$
Isolate the variable by subtracting both sides by $4$.

$16 = 3x + 4$
$-4-4$
$12 = 3x$
Finally, divide both sides by $3$.

$x=\frac{12}{3}=4$

1. $3x-5 = 2x + 14$

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.

1. $5x-5 = x + 15$

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