Linear Equations with Variable on Both Sides

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

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

a

b

Distributive property

Combine like terms

Solve the equation for the variable

Find the solution for the equation −8(n + 6) = −7(n + 7).

• 1

• -1

• no solution

Larry solved an equation and the solution was "no solution". Which of the following statements is true about this solution?

• "No solution" means that there is no value for the variable that makes the equation true.

• "No solution" means that there are an infinite number of values for the variable that makes the equation true.

• "No solution" means that the value of the variable must be 0.

• "No solution" means that the value of the variable must be negative.

Solve: 3(n - 2) = 2(n - 4) + n + 2.

• All real numbers

• No solution

• -6

• 4

• -12

What value of "a" makes 4(5a - 8) = 4(a + 6) a true statement?

• 3.5

• 2.8

• 11.2

• 8.5

• -9.5

What is the solution for 6(y - 2) = 6 + 9(y - 2).

• 0

• No solution

• All real numbers

• 3

• -6

What value of "p" makes 2 - 2(6 - p) = 5p - 3 a true statement?

• -3

Solve 2(7r - 4) = 10r - 3.

• 0

Solve the equation:
3x - x + 2 = 4(2x - 1)

• x = 7

• x = 1

• x = -1

• x = -3