Intro Two Step Equations

Simplify the equation. Solve for x

2x + 3x - 5 + 7 = 10x + 3 - 6x - 4

Answer explanation

First we simplify both sides of the equation.

2x + 3x - 5 + 7 = 10x + 3 - 6x - 4 Original problem

2x + 3x - 5 + 7 = 10x + 3 - 6x - 4

5x + 2 = 4x - 1 Combine like terms on each side of the equation

Next we want all terms with a variable one one side of the equation and all numbers on the other side.

5x - 4x + 2 = 4x - 1 - 4x Subtract 4x from both sides

x + 2 - 2 = - 1 - 2 Subtract 2 from both sides to get x alone

x = - 3 Combine like terms

Simplify the equation. Solve for x.

6(2x - 1) - (11x +6) = 7

Answer explanation

Use the distributive property

6(2x) + 6(- 1) - 1(11x) - 1(6) = 7 Apply the distributive property (multiply)

12x - 6 - 11x - 6 = 7

x - 12 = 7 Combine like terms

x - 12 + 12 = 7 + 12 Add 12 to both sides

x = 19 Simplify

Tags

CCSS.8.EE.C.7B

• Step 1: Add 45

  Step 2: Multiply by 5

• Step 1: Subtract 3

  Step 2: Divide by 5

• Step 1: Subtract 3

  Step 2: Multiply by 5

• Step 1: Multiply by 5

  Step 2: Subtract 3

Tags

CCSS.HSA.REI.A.1

• Step 1: Divide by 9

  Step 2: Add 8

• Step 1: Divide by -9

  Step 2: Add 8

• Step 1: Add 8

  Step 2: Divide by 3

• Step 1: Add 8

  Step 2: Divide by -9

Tags

CCSS.7.EE.B.4A

• Step 1: Subtract 20

  Step 2: Multiply by 7

• Step 1: Multiply by 7

  Step 2: Add 4

• Step 1: Multiply by 7

  Step 2: Subtract 20

Tags

CCSS.HSA.REI.A.1

In this equation, which numbers do you need to get rid of in order to isolate the variable?

• 2

• 9

• 15

• p

Tags

CCSS.7.EE.B.4A

What operation will "undo" the 2 in this equation?

• Adding

• Subtracting

• Multiplying

• Dividing

Tags

CCSS.HSA.REI.A.1

In this equation, which numbers do you need to get rid of in order to isolate the variable?

• 17

• 11

• y

• -3

Tags

CCSS.7.EE.B.4A

What operation will "undo" the -3 in this equation?

• Adding

• Subtracting

• Multiplying

• Dividing

Tags

CCSS.HSA.REI.A.1

In this equation, which numbers do you need to get rid of in order to isolate the variable?

• 1

• d

• -4

• 9

Tags

CCSS.HSA.REI.A.1