Question

Solve the equation: 3(4f-6) = 8 f- (4f+3)

Answer 1

Answer :

$\sf{f=\dfrac{15}{8}}$

Solution :

$\sf{3(4f-6)=8f-(4f+3)}$

$\implies$ $\sf{12f-18=8f-4f-3}$

$\implies$ $\sf{12f-18=4f-3}$

$\implies$ $\sf{12f-4f=-3+18}$

$\implies$ $\sf{8f=15}$

$\implies$ $\sf{f=\dfrac{15}{8}}$ ( required answer )

_____________________

#answerwithquality #BAL

Answer 2

Answer:

$3\left(4f-6\right)=8f-\left(4f+3\right)\quad :\quad f=\dfrac{15}{8}\quad \left(\mathrm{Decimal}:\quad f=1.875\right)$

Step-by-step explanation:

$3\left(4f-6\right)=8f-\left(4f+3\right)$

$\gray{\mathrm{Expand\:}3\left(4f-6\right):\quad 12f-18}$

$\gray{\mathrm{Expand\:}8f-\left(4f+3\right):\quad 4f-3}$

$12f-18=4f-3$

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

$12f-18-4f=4f-3-4f$

$\gray{\mathrm{Simplify}}$

$8f-18=-3$

$\gray{\mathrm{Add\:}18\mathrm{\:to\:both\:sides}}$

$8f-18+18=-3+18$

$\gray{\mathrm{Simplify}}$

$8f=15$

$\gray{\mathrm{Divide\:both\:sides\:by\:}8}$

$\dfrac{8f}{8}=\dfrac{15}{8}$

$\gray{\mathrm{Simplify}}$

$f=\dfrac{15}{8}$