Question

The value of x in the equation
$4 \frac{x}{3} = 7 - x$
​

Answer 1

Explanation:

$\frac{4x}{3} = 7 - x \\ 4x = 21 - 3x \\ 4x + 3x = 21 \\ 7x = 21 \\ x = \frac{21}{7} = 3$

The value of x is 3.

Answer 2

${\star \: { \underline{ \boxed{ \frak{Given}}}}}$

• $\sf \frac{4x}{3} = 7 - x$

$\: \:$

${ \star \: { \underline{ \boxed{ \frak{To \: Find}}}}}$

• $\sf \:Value \: of \: x.$

$\: \:$

${\star \: { \underline{ \boxed{ \frak{Solution}}}}}$

$\sf{ \dashrightarrow{\frac{4x}{3} = 7 - x }}$

$\sf{ \dashrightarrow{4x = 21 - 3x }}$

$\sf{ \dashrightarrow{4x + 3x = 21}}$

$\sf{ \dashrightarrow{7x = 21}}$

$\sf { \dashrightarrow{ \purple{x = \frac{21}{7} = 3 }}}$

$\: \:$

$\dagger \: { \underline{ \boxed{ \frak{ \pmb{ \green{Hence, the \: value \: of \: x \: is \: 3.}}}}}}$

$\: \:$