CPM Homework Help : MC2 Problem 6-115

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

6-115.

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

$2x + 16 = 5x + 4$
Step 1(a):
Subtract $2x$ from both sides to move the variable onto one side of the equation.
Step 2(a):
$2x + 16 = 5x + 4$
$− 2x − 2x$
$16 = 3x + 4$
Isolate the variable by subtracting both sides by $4$ .
Step 3(a):
$16 = 3x + 4$
$-4-4$
$12 = 3x$
Finally, divide both sides by $3$ .
Answer (a):
$x=\frac{12}{3}=4$
Check your answer.

$3x-5 = 2x + 14$
Hint (b):
Follow the method presented in part (a).
Answer (b):
$x = 19$
Check (b):
Substitute $19$ back into the equation.
$3 (19) − 5 = 2 (19) + 14$
Next 1(b):
Simplify.
$57 − 5 = 38 + 14$
$52 = 52$
Next 2(b):
If both sides of the equation are equal, your answer is correct.

$5x-5 = x + 15$
Hint (c):
Follow the method presented in part (a). Check your answering using the method presented in part (b).

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