Question

Solve for x , 2x - 24 = 4x + 21

Answer 1

Answer:

2x-24 = 4x+21

2x-4x=21+24

-2x =45

x = - 45/2

Answer 2

Answer:

$2x-24=4x+21\quad :\quad x=-\dfrac{45}{2}\quad \left(\mathrm{Decimal}:\quad x=-22.5\right)$

Step-by-step explanation:

$2x-24=4x+21$

$\mathrm{Add\:}24\mathrm{\:to\:both\:sides}$

$2x-24+24=4x+21+24$

$\mathrm{Simplify}$

$2x=4x+45$

$\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}$

$2x-4x=4x+45-4x$

$\mathrm{Simplify}$

$-2x=45$

$\mathrm{Divide\:both\:sides\:by\:}-2$

$\dfrac{-2x}{-2}=\dfrac{45}{-2}$

$\mathrm{Simplify}$

$x=-\dfrac{45}{2}$