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

1.	Solve the followimg equation 5(x-3 ) = 3 (x+2)
Answer» 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!!

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