Question

3x/2-5=4 find the value of x​

Answer 1

GIVEN :–

$\: \: \: \: \: \: \: \bull \: \: \large \sf{ \dfrac{3x}{2} - 5 = 4 }$

TO FIND :–

The value of x

SOLUTION :–

$\: \: \: \: \: \: \: \: \: \: \: \: \: \large \sf{ \dfrac{3x}{2} - 5 = 4 }$

$: \implies \sf{ \dfrac{3x}{2} = 4 + 5 } \bigg \lgroup \footnotesize{bringing \: 5 \: to \: rhs \bigg \rgroup}$

$: \implies \sf{ \dfrac{3x}{2} = 9 } \bigg \lgroup \footnotesize{adding \: the \: values \: in \: rhs \bigg \rgroup}$

$: \implies \sf{3x = 9 \times 2} \bigg \lgroup \footnotesize{multiplying \: rhs \: by \: 2 \bigg \rgroup}$

$: \implies \sf{x = \dfrac{18}{3} } \bigg \lgroup \footnotesize{dividing \: our \: value \: in \: rhs \: by \: 3 \bigg \rgroup}$

$: \implies \underline{ \boxed{\bf \red{x = 6}} }\bigg \lgroup \sf \footnotesize{our \: final \: result} \bigg \rgroup$

$\: \: \: \: \: \: \: \: \large {\underbrace{ \bf{Confused? \: Let's \: Verify \: our \: result}}}$

$\huge \dag{} \: \underline{ \large\tt{Putting \: our \: value \: in \: equation}}$

$\large \sf{ \dfrac{3x}{2} - 5 = 4 }$

$\longrightarrow \bf{ \dfrac{3 \times 6}{2} - 5 = 4 }$

$\longrightarrow \bf{ \dfrac{18}{2} - 5 = 4 }$

$\longrightarrow \bf{ 9- 5 = 4 }$

$\longrightarrow \bf{ 4= 4 }$

$\longrightarrow \bf{LHS = RHS }$

$\: \: \: \: \: \: \: \: \large {\underbrace{ \bf{Hence \: Verified!!}}}$

Answer 2

Answer:

3x/2-5=4

3x/2=4+5

3x/2=9

3x=9×2

3x=18

x=18/3

x=6