2.3 Solve equations with variables and constants on both sides  (Page 3/3)

$9x-3=60$

$12x-8=64$

$14w+5=117$

$15y+7=97$

$2a+8=\mathrm{-28}$

$3m+9=\mathrm{-15}$

$\mathrm{-62}=8n-6$

$\mathrm{-77}=9b-5$

$35=\mathrm{-13}y+9$

$60=\mathrm{-21}x-24$

$\mathrm{-12}p-9=9$

$\mathrm{-14}q-2=16$

$19z=18z-7$

$21k=20k-11$

$9x+36=15x$

$8x+27=11x$

$c=\mathrm{-3}c-20$

$b=\mathrm{-4}b-15$

$9q=44-2q$

$5z=39-8z$

$6y+\frac{1}{2}=5y$

$4x+\frac{3}{4}=3x$

$\mathrm{-18}a-8=\mathrm{-22}a$

$\mathrm{-11}r-8=\mathrm{-7}r$

$8x-15=7x+3$

$6x-17=5x+2$

$26+13d=14d+11$

$21+18f=19f+14$

$2p-1=4p-33$

$12q-5=9q-20$

$4a+5=\text{−}a-40$

$8c+7=\mathrm{-3}c-37$

$5y-30=\mathrm{-5}y+30$

$7x-17=\mathrm{-8}x+13$

$7s+12=5+4s$

$9p+14=6+4p$

$2z-6=23-z$

$3y-4=12-y$

$\frac{5}{3}c-3=\frac{2}{3}c-16$

$\frac{7}{4}m-7=\frac{3}{4}m-13$

$8-\frac{2}{5}q=\frac{3}{5}q+6$

$11-\frac{1}{5}a=\frac{4}{5}a+4$

$\frac{4}{3}n+9=\frac{1}{3}n-9$

$\frac{5}{4}a+15=\frac{3}{4}a-5$

$\frac{1}{4}y+7=\frac{3}{4}y-3$

$\frac{3}{5}p+2=\frac{4}{5}p-1$

$14n+8.25=9n+19.60$

$13z+6.45=8z+23.75$

$2.4w-100=0.8w+28$

$2.7w-80=1.2w+10$

$5.6r+13.1=3.5r+57.2$

$6.6x-18.9=3.4x+54.7$

Concert tickets At a school concert the total value of tickets sold was $1506. Student tickets sold for $6 and adult tickets sold for $9. The number of adult tickets sold was 5 less than 3 times the number of student tickets. Find the number of student tickets sold, s , by solving the equation $6s+27s-45=1506$ .

Making a fence Jovani has 150 feet of fencing to make a rectangular garden in his backyard. He wants the length to be 15 feet more than the width. Find the width, w , by solving the equation $150=2w+30+2w$ .

Solve the equation $\frac{6}{5}y-8=\frac{1}{5}y+7$ explaining all the steps of your solution as in the examples in this section.

Solve the equation $10x+14=\mathrm{-2}x+38$ explaining all the steps of your solution as in the examples in this section.

When solving an equation with variables on both sides, why is it usually better to choose the side with the larger coefficient of $x$ to be the “variable” side?

Is $x=\mathrm{-2}$ a solution to the equation $5-2x=\mathrm{-4}x+1$ ? How do you know?