Question

(x-8)/3=(x-3)/2,than x is equal to​

Answer 1

Answer: BY CROSS- MULTIPLICATION,

=> 2(x-8) = 3(x-3)

=> 2x-16 = 3x - 9

=> 3x - 2x = -16 +9

=> x = -7

Step-by-step explanation: HOPE IT HELPS YOU

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Answer 2

Given:

• A equation is given to us.
• The equation is $\sf{\dfrac{x-8}{3}=\dfrac{x-3}{2}}$

To Find:

• The value of x .

Concept Used:

• We will use transposition method to solve the given equation.

Answer:

Taking the given equation ,

$\sf{\implies \dfrac{x-8}{3}=\dfrac{x-3}{2}}$

$\sf{\implies 2(x-8)=3(x-3)}$

(Cross-multiplication )

$\sf{\implies 2x-16 = 3x -9}$

$\sf{\implies 2x-3x=16-9}$

$\sf{\implies -x=7}$

${\underline{\boxed{\red{\sf{\leadsto x=(-7)}}}}}$

Hence the value of x is (-7).

Verification:

LHS = $\sf{\dfrac{x-8}{3}=\dfrac{-7-8}{3}=\dfrac{-15}{3}=(-5)}$

RHS = $\sf{\dfrac{x-3}{2}=\dfrac{-7-3}{2}=\dfrac{-10}{2}=(-5)}$

Hence RHS = LHS .(Verified)