Question

practice
in 1–8, solve for x.

1. $x + 3\frac{5}{8} = 7\frac{1}{4}$ 2. $x - \frac{4}{8} = 4\frac{1}{4}$
2. $x \div 15 = 8\frac{1}{3}$ 4. $\frac{4}{2}x = 6$
3. $\frac{x}{3} = 9$ 6. $14x = 73.5$
4. $12x = 19.2$ 8. $17.9 - x = 12.8$

Explanation:

Step1: Isolate x (Q1)

Subtract $3\frac{5}{8}$ from both sides. Convert $7\frac{1}{4}$ to $7\frac{2}{8}$.
$x = 7\frac{2}{8} - 3\frac{5}{8} = 6\frac{10}{8} - 3\frac{5}{8}$

Step2: Calculate Q1 result

$x = 3\frac{5}{8}$

Step3: Isolate x (Q2)

Add $\frac{4}{8}$ to both sides. Convert $4\frac{1}{4}$ to $4\frac{2}{8}$.
$x = 4\frac{2}{8} + \frac{4}{8}$

Step4: Calculate Q2 result

$x = 4\frac{6}{8} = 4\frac{3}{4}$

Step5: Isolate x (Q3)

Multiply both sides by 15. Convert $8\frac{1}{3}$ to $\frac{25}{3}$.
$x = 15 \times \frac{25}{3}$

Step6: Calculate Q3 result

$x = 5 \times 25 = 125$

Step7: Simplify & isolate x (Q4)

Simplify $\frac{4}{2}$ to 2, then divide by 2.
$x = \frac{6}{2}$

Step8: Calculate Q4 result

$x = 3$

Step9: Isolate x (Q5)

Multiply both sides by 3.
$x = 9 \times 3$

Step10: Calculate Q5 result

$x = 27$

Step11: Isolate x (Q6)

Divide both sides by 14.
$x = \frac{73.5}{14}$

Step12: Calculate Q6 result

$x = 5.25$

Step13: Isolate x (Q7)

Divide both sides by 12.
$x = \frac{19.2}{12}$

Step14: Calculate Q7 result

$x = 1.6$

Step15: Isolate x (Q8)

Rearrange to $x = 17.9 - 12.8$

Step16: Calculate Q8 result

$x = 5.1$

Answer:

1. $x = 3\frac{5}{8}$
2. $x = 4\frac{3}{4}$
3. $x = 125$
4. $x = 3$
5. $x = 27$
6. $x = 5.25$
7. $x = 1.6$
8. $x = 5.1$