Question

1. -13x = -91 x = 7
2. $\frac{x}{3}=-30$
3. -38 + x = 40
4. x + (-15) = 1
5. -$\frac{x}{5}=25$
6. -60 = 12x
7. -44 + x = -24
8. x - 11 = -22
9. -12x = -96
10. -$\frac{x}{10}=-10$
11. x - 48 = -113
12. -70 = -23 + x

Explanation:

Step1: Solve $\frac{x}{3}=-30$

Multiply both sides by 3: $x=-30\times3$.

Step2: Calculate the right - hand side

$x = - 90$.

Step3: Solve $-38 + x=40$

Add 38 to both sides: $x=40 + 38$.

Step4: Calculate the right - hand side

$x = 78$.

Step5: Solve $x+( - 15)=1$

Add 15 to both sides: $x=1 + 15$.

Step6: Calculate the right - hand side

$x = 16$.

Step7: Solve $-\frac{x}{5}=25$

Multiply both sides by - 5: $x=25\times(-5)$.

Step8: Calculate the right - hand side

$x=-125$.

Step9: Solve $-60 = 12x$

Divide both sides by 12: $x=\frac{-60}{12}$.

Step10: Calculate the right - hand side

$x=-5$.

Step11: Solve $-44 + x=-24$

Add 44 to both sides: $x=-24 + 44$.

Step12: Calculate the right - hand side

$x = 20$.

Step13: Solve $x-11=-22$

Add 11 to both sides: $x=-22 + 11$.

Step14: Calculate the right - hand side

$x=-11$.

Step15: Solve $-12x=-96$

Divide both sides by - 12: $x=\frac{-96}{-12}$.

Step16: Calculate the right - hand side

$x = 8$.

Step17: Solve $-\frac{x}{10}=-10$

Multiply both sides by - 10: $x=-10\times(-10)$.

Step18: Calculate the right - hand side

$x = 100$.

Step19: Solve $x-48=-113$

Add 48 to both sides: $x=-113 + 48$.

Step20: Calculate the right - hand side

$x=-65$.

Step21: Solve $-70=-23 + x$

Add 23 to both sides: $x=-70 + 23$.

Step22: Calculate the right - hand side

$x=-47$.

Answer:

1. $x=-90$
2. $x = 78$
3. $x = 16$
4. $x=-125$
5. $x=-5$
6. $x = 20$
7. $x=-11$
8. $x = 8$
9. $x = 100$
10. $x=-65$
11. $x=-47$