Question

x/2=x/3+1 how to solve this

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Answer 1

$\frac{x}{2} = \frac{x}{3} + 1$

$x = 2( \frac{x}{3} + 1) \\ \\ x = \frac{2x}{3} + 2 \\ \\ x - \frac{2x}{3} = 2 \\ \\ \frac{3x - 2x}{3} = 2 \\ \\ \frac{x}{3} = 2 \\ \\ x = 3 \times 2 \\ \\ x = 6$

Explanation

(1)Firstly Take Denominator 2 from LHS to RHS It will be Numerator.

(2) Multiply the given RHS term with 2

(3) Now Take x/3 to LHS it will be -x/3

(4) Subtract It.You will get x/2

(5)Take Denominator 2 to RHS It will be Numerator and Multiply with 3

(6) You get x=6

$\boxed{\mathbf{\huge{X=6}}}$

Answer 2

Question :

$\sf{ \black{ \implies \frac{x}{2} = \frac{x}{3} + 1}}$

Solution :

$\sf{ \red{ \implies \frac{x}{2} = \frac{x}{3} + 1}} \\ \\ \sf{ \green{ \implies \frac{x}{2} - \frac{x}{3} = 1}} \\ \\ \sf{ \blue{ \implies{ \frac{3x - 2x}{6} = 1}}} \\ \\ \sf{ \red{ \implies{ \frac{x}{6} = 1}}} \\ \\ \sf{ \green{ \implies{x = 6}}}$

↪ Value of x = 6