Question

1. for what value of x is the equation $-3x + 7 = -17$ true?

a. $-8$
b. $\frac{10}{3}$
c. $\frac{10}{3}$
d. $8$

1. for what value of x is the equation $2(x - 4) + x = 10$ true?

f. $2$
g. $6$
h. $12$
j. $14$

1. what value of x makes the equation $8x - 2(x - 7) = 20$ true?

a. $\frac{17}{3}$
b. $\frac{3}{5}$
c. $\frac{17}{5}$
d. $1$

Explanation:

Problem 1:

Step1: Subtract 7 from both sides

$-3x + 7 - 7 = -17 - 7$
$-3x = -24$

Step2: Divide by -3 on both sides

$x = \frac{-24}{-3}$
$x = 8$

Problem 2:

Step1: Expand the parentheses

$2x - 8 + x = 10$

Step2: Combine like terms

$3x - 8 = 10$

Step3: Add 8 to both sides

$3x = 18$

Step4: Divide by 3 on both sides

$x = \frac{18}{3}$
$x = 6$

Problem 3:

Step1: Expand the parentheses

$8x - 2x + 14 = 20$

Step2: Combine like terms

$6x + 14 = 20$

Step3: Subtract 14 from both sides

$6x = 6$

Step4: Divide by 6 on both sides

$x = \frac{6}{6}$
$x = 1$

Answer:

1. D. 8
2. G. 6
3. D. 1