Solving Equations with Variable on Both Sides

Q.

Solve for $x$: $42x-32=75x+4$

1. $-\frac{14}{11}$

2. $-\frac{13}{11}$

3. $-\frac{10}{11}$

4. $-\frac{12}{11}$

Q.

If x = 20x -38, what is x ?

1. 16

2. 25

3. 24

4. 36

Q.

If y = 7y -6, what is the value of y?

1. 2

2. -1

3. 4

4. 1

Q.

If x = 11x - 30, what is the value of x?

1. 3

2. -3

3. -1

4. -6

Q.

A number is divided into two parts, such that one part is 10 more than the other. If the two parts are in the ratio 5 : 3, find the number and the two parts.

1. The number = 35 and the two parts are 15 and 20.

2. The number = 45 and the two parts are 20 and 25.

3. The number = 50 and the two parts are 15 and 35.

4. The number = 40 and the two parts are 15 and 25.

Q.

Solve, $\frac{x-4}{3}+\frac{2x-3}{3}=\frac{5x-32}{3}-\frac{x+9}{3}$.

1. 20

2. 34

3. 5

4. 10

Q.

A steamer goes downstream from one point to other in 7 hours. It covers the same distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the steamer in still water.

1. 3 km/hr

2. 40 km/hr

3. 30 km/hr

4. 15 km/hr

Q.

Given that $\frac{-6p-9}{3}=\frac{2p+9}{5}$, what is the value of p?

1. 5

2. -4

3. 3

4. -2

Q.

The sum of the digits of a two-digit number is 7. If the number formed by interchanging the digits is less than the original number by 27, then find the original number.

1. 43

2. 61

3. 52

4. 25

Q.

The solution of the equation:

$\frac{x+5}{5x+8}=\frac{11}{38}$ is ___