Question

solve the equation x+1/4+0.25=x​

Answer 1

SOLUTION

TO SOLVE

$\displaystyle \sf{ \frac{x + 1}{4} + 0.25 = x}$

EVALUATION

$\displaystyle \sf{ \frac{x + 1}{4} + 0.25 = x}$

$\implies \displaystyle \sf{ \frac{x + 1}{4} + \frac{1}{4} = x}$

$\implies \displaystyle \sf{ \frac{x + 1 + 1}{4} = x}$

$\implies \displaystyle \sf{ \frac{x + 2}{4} = x}$

$\implies \displaystyle \sf{x + 2 = 4x}$

$\implies \displaystyle \sf{x - 4x = - 2}$

$\implies \displaystyle \sf{ - 3x = - 2}$

$\implies \displaystyle \sf{x = \frac{2}{3} }$

FINAL ANSWER

The required solution is

$\boxed{ \: \: \displaystyle \sf{x = \frac{2}{3} } \: \: }$

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Answer 2

Given :

$:\implies\sf\dfrac{x + 1}{4} + 0.25 = x$

To Find :

$:\implies\sf Value \: of \: \boxed{\bf x}$

Solution :

$:\implies\sf\dfrac{x + 1}{4} + 0.25 = x$

$:\implies\sf\dfrac{x + 1}{4} - x = - 0.25$

$:\implies\sf\dfrac{x + 1 - 4x}{4} = - 0.25$

$:\implies\sf\dfrac{- 3x + 1}{4} = - 0.25$

$:\implies\sf - 3x + 1 = - 1$

$:\implies\sf - 3x = - 1 - 1$

$:\implies\sf - 3x = - 2$

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

$:\implies\sf x = \dfrac{2}{3}$

Hence, the value of x is $\bf\dfrac{2}{3}$