Question

5(x_3) = 3(x+2) find x​

Answer 1

Answer:

21 / 2 ( or ) 10.5

Step-by-step explanation:

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

5x -15 = 3x + 6

5x - 3x = 6 + 15

2x = 21

x = 21 / 2

x = 10.5

Answer 2

☯ GIVEN :

• $\bf{5(x - 3) =3(x+2)}$

☯ TO FIND :

• The value of x.

➲SOLUTION :

$\implies \sf{5(x - 3) =3(x+2)}$

$\implies\sf{5x-15 = 3x +6}$

• Transposing -15 to Right side and 3x to left side :

$\implies\sf{ 5x-3x= 6+15}$

$\implies\sf{ 2x= 21}$

$\implies \underline{ \boxed {\red {\bf{ x = \dfrac {21}{2}}}}}$

$\huge{\red {\therefore }}$ The value of x is $\bf {\dfrac {21}{2}}$.

✞VERIFICATION :

• Substituting the value of x :

$\implies \sf{5(x - 3) =3(x+2)}$

$\implies \sf{5\bigg(\dfrac {21}{2} - 3\bigg) = 3\bigg(\dfrac {21}{2}+2\bigg)}$

$\implies \sf{5\big(\dfrac {21-6}{2} \bigg) =3\bigg(\dfrac {21+4}{2}\bigg)}$

$\implies \sf{5\bigg(\dfrac {15}{2} \bigg) =3\bigg(\dfrac {25}{2}\bigg)}$

$\implies \sf{\dfrac {75}{2} = \dfrac {75}{2}}$

$\implies \underline{ \boxed {\red {\bf{LHS = RHS}}}}$

$\huge{\red {\therefore }}$ Verified.