Algebra Review Solving with Variables on Both Sides

3x + 10 + 2x = 2 (x + 8)

Label the two steps in the appropriate spots where they took place.

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

Solve the equation for the variable

(a)  

Solve the equation.

3x - 2 = x + 10

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

Solve the following equation for g.

Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month. The equation that represents this scenario is 60 + 50.45x = 57.95x

Choose all of the following options that are possible first steps when solving 2(10 + 12x) = 3 + 9x

Simplify and tell whether the equation has one, zero or infinite solutions.

2(3x - 6) = -12 + 6x

Fill in the blank with the proper answer choice that will result in the equation having no solution.

8x ​ (a)   = 8x - 6​