Question

Solve in the most simplest way ​​

Answer 1

$\huge{\underline{\boxed{\large{ \sf{Answer = \bf 3 }}}}}$

Step by step explanation:

$\\ \\ → \sf {x - \cfrac{x - 1}{2} = 1 - \cfrac{x - 2}{3} }$

On taking LCM, we get

$\\\sf {→ \cfrac{2x - (x - 1)}{2} = \cfrac{3 - (x - 2)}{3} }$

$\sf {→ \cfrac{2x - x + 1}{2} = \cfrac{3 -x + 2}{3} }$

$\sf {→ \cfrac{x + 1}{2} = \cfrac{5 - x}{3} }$

Cross multiplying both sides

$\\\sf { → 3({x + 1}) = 2({5 - x})}$

$\sf {→ 3x + 3= 10 - 2x}$

On transfering+3 to RHS and -2x to LHS

$\\\sf { →3x + 2x = 10 - 3}$

$\sf {→ 5x = 7}$

$\sf { →x = \cfrac{7}{5} }$

More information:

For solving an equation having only one variable, the following steps are followed are:

• Step 1: Using LCM, clear the fractions if any.
• Step 2: Simplify both sides of the equation.
• Step 3: Isolate the variable.
• Step 4: Verify your answer.