Algebra Equations Variables on Both Sides

What is the next step to solve for x?

• + 2x to both sides; -7 = 8x - 29x

• + 2x to both sides; -7 = 10x - 31

• - 2x to both sides; -7 = 8x - 33x

• - 2x to both sides; -7 = 6x - 31

What is the next step to solve for x?

• - 10 to both sides; 3x = 30

• - 10 to both sides; 3x = 50

• - 3x to both sides; 10 = 37x

• - 40 to both sides; 3x = -30

If you choose to distribute -2 to BOTH 2x and - 7, what is the next step of the eqation?

• x/5 + 10 = -4x + 14 + 17

• x/5 + 10 = -4x - 7 + 17

• x/5 + 10 = 4x - 7 + 17

• x/5 + 10 = -4x - 14 + 17

What is the next step to solve for x?

• x = 5(-4x + 21)

• x = (-4x + 21)/5

• 6

• -6

• -1

• 3

Solve for x. 
5x - 10 = x + 6

• No solution

• x = 1

• x = 2

• x = 4

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

d

a

-2x (right side)

/2x (right side)

/2x (left side)

-2x (left side)

Solve the equation:
3(x - 1) = 2x + 9

• x = 12

• no solution

• x = 10

• x = 6