Question

If 2 (2x - 1) = 5, then x = ............... ​

Answer 1

${ \small{ \boxed{ \color{orange}{ \rm{Question}}}}}$

${ \bf{To \: find \: the \: Value \: of \: x}}$

$\bf{Linear \: equqtion \: is}$

$\bf{2 (2x - 1) = 5}$

$\small{ \boxed{ \color{aqua}{ \rm{Answer}}}}$

$\bf{x = \frac{7}{4} }$

$\small{ \boxed{ \red{ \rm{step \: by \:step \: solution}}}}$

$\bf{2 (2x - 1) = 5}$

$\bf{4x - 2 = 5}$

$\bf{4x = 5 + 2}$

$\bf{4x = 7}$

$\bf{x = \frac{7}{4} }$

$\boxed{ \color{magenta}{ \rm{checking \: solution}}}$

$\bf{2 (2x - 1) = 5}$

$\boxed{ \green{ \rm{on \: putting \: value \: of \: x}}}$

$\bf{2 (2 \times \frac{7}{4} - 1) = 5}$

$\bf{2 ( \frac{7}{2} - 1) = 5}$

$\bf{2 (\frac{7 - 2}{2} ) = 5}$

$\bf{2 (\frac{5}{2} ) = 5}$

$\bf{5 = 5}$

${ \boxed{ \color{blue}{ \rm{L.H.S.=R.H.S}}}}$

${ \boxed{ \color{lightsalmon}{ \rm{Hence \: Proved}}}}$

$\boxed{ \color{darkkhaki}{ \rm{Additional \: information }}}$

What is linear equation

a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system. any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution.

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