Question

1. $3x - 10 = 14$
2. $5x + 24 = -36$
3. $17 = 3x + 2$
4. $-9x + 17 = 71$
5. $4x + 13.2 = 2.6$
6. $-3x - 3.4 = 12.2$

Explanation:

Problem 1: $3x - 10 = 14$

Step1: Add 10 to both sides

$3x - 10 + 10 = 14 + 10$
$3x = 24$

Step2: Divide by 3

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

Problem 2: $5x + 24 = -36$

Step1: Subtract 24 from both sides

$5x + 24 - 24 = -36 - 24$
$5x = -60$

Step2: Divide by 5

$\frac{5x}{5} = \frac{-60}{5}$
$x = -12$

Problem 3: $17 = 3x + 2$

Step1: Subtract 2 from both sides

$17 - 2 = 3x + 2 - 2$
$15 = 3x$

Step2: Divide by 3

$\frac{15}{3} = \frac{3x}{3}$
$x = 5$

Problem 4: $-9x + 17 = 71$

Step1: Subtract 17 from both sides

$-9x + 17 - 17 = 71 - 17$
$-9x = 54$

Step2: Divide by -9

$\frac{-9x}{-9} = \frac{54}{-9}$
$x = -6$

Problem 5: $4x + 13.2 = 2.6$

Step1: Subtract 13.2 from both sides

$4x + 13.2 - 13.2 = 2.6 - 13.2$
$4x = -10.6$

Step2: Divide by 4

$\frac{4x}{4} = \frac{-10.6}{4}$
$x = -2.65$

Problem 6: $-3x - 3.4 = 12.2$

Step1: Add 3.4 to both sides

$-3x - 3.4 + 3.4 = 12.2 + 3.4$
$-3x = 15.6$

Step2: Divide by -3

$\frac{-3x}{-3} = \frac{15.6}{-3}$
$x = -5.2$

Answer:

1. $x = 8$
2. $x = -12$
3. $x = 5$
4. $x = -6$
5. $x = -2.65$
6. $x = -5.2$