Question

$\frac{x}{2} - \frac{3x}{4} + \frac{5x}{6} = 21$
then x is equalsto​

Answer 1

Answer:

$\frac{x}{2}-\frac{3x}{4}+\frac{5x}{6}=21\quad :\quad x=36$

Step-by-step explanation:

$\frac{x}{2}-\frac{3x}{4}+\frac{5x}{6}=21$

$\mathrm{Multiply\:by\:LCM=}12$

$\frac{x}{2}\cdot \:12-\frac{3x}{4}\cdot \:12+\frac{5x}{6}\cdot \:12=21\cdot \:12$

$= 6x - 9x + 10x = 252$

$7x=252$

$\mathrm{Divide\:both\:sides\:by\:}7$

$\frac{7x}{7}=\frac{252}{7}$

$x=36$

$\mathrm{Hope\ it \ Helps\ You}$

$\mathrm{Eva*}$

Answer 2

Answer:

26

Step-by-step explanation:

$\frac{x}{2} - \frac{3x}{4} +\frac{5x}{6} = 21$                                  Find the LCM = 12

$\frac{6x}{12} - \frac{9x}{12} + \frac{10x}{12} = 21\\\\= \frac{7x}{12} = 21\\\\= \frac{7x}{12} = \frac{252}{12} \\\\= 7x = 252\\= x = 26$