Skills Practice - Solving Linear Equations

Solve for x: -4x + 5 = -10 + 10x

Solve for x: 1 + (3/8)x = (5/8)x

Solve the equation: $$-5x - 7 = -x$$ .

Solve the equation: $$6.7 - x = -10x$$ .

Solve $$\frac{1}{3}(2x - 5) = -\frac{2}{3}x + 18$$ by multiplying both sides of the equation by the LCD. What is the value of x?

Solve –3.45x – 21.9 = 1.45x – 7.2 by multiplying both sides of the equation by a power of 10.

Solve the equation: $$\frac{-5(x - 2)}{2} = \frac{2 - 8x}{6}$$

Petit Chat cat salon charges $35 for each cat grooming session. Pretty Kitty cat salon charges a one-time fee of $20 and $25 for each cat grooming session. How many grooming sessions would make their fees equal?

Francis earns $3.50 an hour mowing lawns. He also gets $10 a week allowance. Bella earns $5.25 an hour babysitting and spends $11 a week on books. If Francis and Bella work the same number of hours a week and have the same amount of money at the end of each week, how many hours a week do they each work?

(a)  

There are two candy machines in a restaurant. One is filled with 200 gumballs and the other is filled with 900 chocolate candies. The gumballs are dispensed 1 at a time and the chocolate candies are dispensed 8 candies at a time. How many dispenses from each machine will make the number of candies in the machines equal?