Question

solve the followimg equation 5(x-3 ) = 3 (x+2)​

Answer 1

Required Solution:

⇒ 5 ( x - 3 ) = 3 ( x + 2 )

• By using distributive property,

⇒ 5(x) + 5 (-3) = 3(x) + 3(2)

• Now, performing multiplication.

⇒ 5x - 15 = 3x + 6

• Transposing like terms.

⇒ 5x - 3x = 6 + 15

• Performing subtraction in LHS.

⇒ 2x = 21

• Transposing 2 from LHS to RHS.

⇒ x = $\dfrac{21}{2}$

Value of x is 21/2.

Verification:

Substitute the value of x in LHS and RHS.

⇒ 5 ( x - 3 ) = 3 ( x + 2 )

⇒ 5 ( $\dfrac{21}{2}$ - 3 ) = 3 ( $\dfrac{21}{2}$ + 2 )

⇒ 5 ( $\dfrac{21-6}{2}$ ) = 3 ( $\dfrac{21+4}{2}$ )

⇒ 5 ( $\dfrac{15}{2}$ ) = 3 ( $\dfrac{25}{2}$ )

⇒ 5 × $\dfrac{15}{2}$ = 3 × $\dfrac{25}{2}$

⇒ $\dfrac{75}{2}$= $\dfrac{75}{2}$

LHS = RHS

Hence, verified!!