Q. Solve to find the value of the variable: 4x = 28

Q. Solve : 

Now, 4x is 4 × x.

Aim is to move numeric values to the other side of the equality and keep variable on one side.

∴ How is ‘4’ connected to the rest of the expression on the Left Hand Side?

By multiplication operation.

⇒ Send it to other side with division operation

⇒ x = 28 ÷ 4

⇒ x = 7

⇒ x = 7

∴ Value of variable x is found to be 7.

Q. Solve to find the value of the variable: x/4 = 12

Q. Solve : 

Aim is to keep variable on 1 side & send numbers to the other side.

So, 4 is in division with the rest of the expression on the Left Hand Side.

x ÷ 4 = 12

∴ Send ‘4’ to the Right hand Side by multiplication.

⇒ x = 12 × 4

⇒ x = 48

∴ Variable x is found to have a value of 48.

Q. Solve to find the value of the variable: x/18 = 20

Q. Solve 

Aim is again to keep variable ‘x’ on one side & send numbers to the other side of the equality (‘=’ symbol).

x ÷ 18 = 20

How is 18 connected to the rest of the expression on the Left hand side?

By division operation.

∴ Send to other side using multiplication.

⇒ x = 20 × 18

⇒ x = 360

∴ Value of x variable is found to be 360.

Q. Solve to find the value of the variable: 3x = 0

Q. Solve 

So it is, 3 × x = 0

Aim is to keep variable ‘x’ on one side & send numbers to the other side.

To send ‘3’, How is ‘3’ connected to the rest of the expression on the Left hand side?

By multiplication operation.

∴ Send 3 to other side using division operation.

⇒ x = 0 ÷ 3

⇒ x = 0/3

⇒ x = 0

∴ x value is zero.

Zero cake divided among 3 people gives zero pieces.

Q. Solve to find the value of the variable: x/2 = 0

Q. Solve 

The aim again is to keep the variable ‘x’ on one side & send numbers to the other side of the equality.

x ÷ 2 = 0

So, How is ‘2’ connected to the rest of the expression on the Left Hand Side?

By division operation.

∴ Send by multiplication operation to the other side.

⇒ x = 0 × 2

⇒ x = 0

Value of variable x is found to be 0.

Q. Solve to find the value of the variable: x/4 = 7/8

Q. Solve 

Aim is to keep ‘x’ variable on one side of the equality (‘=’ symbol) & send numbers to the other side.

To send 4, How is 4 connected to the rest of the expression on the LHS?

By division (it is in the denominator).

∴ Send to multiplication/numerator of the other side.

⇒ x = (7/8) × 4

⇒ x = (7 × 4)/8

⇒ x = 7/2

∴ x = 7/2

(∵ 2 fractions in multiplication, we can simplify numerators with denominators)