Question

3) Solve 5 (x-3) = 3 (x+2)​

Answer 1

Answer:

$5(x - 3) = 3(x + 2) \\ 5x - 15 = 3x + 6 \\ 5x - 3x = 15 - 6 \\ 2x = 9 \\ x = \frac{9}{2} = 4.5$

Answer 2

Given :

5(x - 3) = 3(x + 2)

To find :

The value of x = ?

Solution :

» Let's solve our problem and understand the steps to get our final answer.

➙ 5(x - 3) = 3(x + 2)

Multiply each term in parentheses by 5,

➙ 5x + 5 × (-3) = 3(x + 2)

Multiply each term in parentheses by 3,

➙ 5x + 5 × (-3) = 3x + 3 × 2

Multiply 5 and -3

➙ 5x + (-15) = 3x + 3 × 2

We know plus (+) and minus (-) is equal to minus (-) so,

➙ 5x - 15 = 3x + 3 × 2

Multiply 3 and 2

➙ 5x - 15 = 3x + 6

Move the variable to the left-hand side and change the symbol,

➙ 5x - 15 - 3x = 6

Move the constant to the right side and change the sign,

➙ 5x - 3x = 6 + 15

Organize the similar term,

➙ (5 - 3)x = 6 + 15

Arrange the constant term,

➙ 2x = 6 + 15

Add 6 and 15,

➙ 2x = 21

Divide both side by the same number,

➙ x = 21/2

Thus, the required value of x is 21/2.