Methods of Solving an Equation

Q. My friend has 3 less than twice the number of oranges I have. The ratio $\frac{\text{number of oranges I have}}{\text{number of oranges my friend has}}$ is equal to $\frac{2}{3}$. How many oranges do each of us have?

1. Me - 6.
   My friend - 7.
2. Me - 10.
   ​My friend - 15.
3. Me - 6.
   ​My friend - 9.
4. Me - 8.
   ​My friend - 12.

Q. What is the value of $x$ if $4x-7=3x+5$ ?

1. 3
2. 1
3. 5
4. 12

Q. If $\frac{2}{5x}-\frac{5}{3x}=\frac{1}{15}$, then the value of '$x$' is:

1. $19$
2. $-19$
3. $29$
4. $-39$

Q. If $\frac{(8x-5)}{2x}=3$, then the value of '$x$' is:

1. $\frac{7}{5}$​
2. $\frac{5}{2}$​
3. $\frac{3}{4}$​
4. $-\frac{5}{2}$​

Q. If $\frac{17(2-x)-5(x+12)}{1-7x}=8$ , then the value of '$x$'is:

1. $1$
2. $-1$
3. $8$
4. $2$

Q.

$\text{Solve for x:}$

$\frac{x}{3}+\frac{7}{2}=\frac{3}{2}$

1. -6

2. 6

3. 5

4. -5

Q. What is the value of x in the equation
$2x+4=10$?

1. 4
2. 6
3. 3
4. 1

Q. What do we get when we transpose 4 to the RHS in the equation $x+4=10$?

1. $x=10$
2. $x=6$
3. $x=14$
4. $x=3$

Q. What is the value of p that satisfies the equation $4+3(p-1)=10?$

1. 4
2. 6
3. 2
4. 3

Q. What is the value of $x$ that satisfies the equation $2x+3=9$?

1. 2
2. 3
3. 4
4. 5