Type of Equation	Example	Step 1	Solution	Step 2	Solution
Addition Equations	ax + b = c	Subtract b from both sides	ax + b – b = c – b ⇒ ax = c	Divide both sides b	x = c/a
Subtraction Equations	ax − b = c	Add b to both sides	ax – b + b = c + b ⇒ ax = c	Divide both sides by a	x = c/a
Multiplication Equations	x/a​ − b = c	Add b to both sides	x/a – b + b = c + b ⇒ x/a = c	Multiply both sides by a	x = ac

Two-Step Equations Practice Questions with Solution

Question 1: Solve 2x + 8 = 16

Solution:

Subtract 8 from both sides:

2x + 8 – 8 = 16 – 8

⇒ 2x = 16

Divide both sides by 2:

2x/2 = 16/2

⇒ x = 8

Question 2: Solve 5x – 10 = 60

Solution:

Add 10 to both sides:

5x – 10 + 10 = 60 + 10

⇒ 5x = 70

Divide both sides by 5:

5x/5 = 70/5

⇒ x = 14

Question 3: Solve x/3 – 5 = 1

Solution:

Add 5 to both sides:

x/3 – 5 + 5 = 1 + 5

⇒ x/3 = 6

Multiply both sides by 3:

x/3 x 3 = 6 x 3

⇒ x = 18

Question 4: Solve 8x + 18 = -14

Solution:

Subtract 18 from both sides:

8x + 18 – 18 = -14 – 18

⇒ 8x = -32

Divide both sides by 8:

8x/8 = -32/8

⇒ x = -4

Question 5: Solve 6x – 12 = -30

Solution:

Add 12 to both sides:

6x – 12 + 12 = -30 + 12

⇒ 6x = -18

Divide both sides by 6:

6x/6 = -18/6

⇒ x = -3

Question 6: Solve 3x/2 + 4 = 10

Solution:

Subtract 4 from both sides:

3x/2 + 4 – 4 = 10 – 4

⇒ 3x/2 = 6

Multiply both sides by 2/3:

(3x/2) x 2/3= 6 x 2/3

⇒ x = 4

Question 7: Solve 4x – 6 = 2

Solution:

Add 6 to both sides:

4x – 6 + 6 = 2 + 6

⇒ 4x = 8

Divide both sides by 4:

4x/4 = 8/4

⇒ x = 2

Question 8: Solve 2x + 3 = 11

Solution:

Subtract 3 from both sides:

2x + 3 – 3 = 11 – 3

⇒ 2x = 8

Divide both sides by 2:

2x/2 = 8/2

⇒ x = 4

Two-Step Equations Practice Questions

Q1: Solve 5x + 10 = 40

Q2: Solve 2x – 4 = 20

Q3: Solve 6x + 5 = 35

Q4: Solve 2x/3 – 1 = 5

Q5: Solve x/2 + 3 = 9

Q6: Solve 13x – 26 = -13

Read More,

• Equations
• Algebra in Math
• Equations with Variables
• Solving Cubic Equations

FAQs of Two-Step Equations

Define two-step equation.

A two-step equation is an algebraic equation that takes two inverse operations to isolate the variable and solve for it.

How do you solve an equation in two steps?

Identify the operations performed on the variable and isolate it on one side of the equation by applying inverse operations in the proper order.

Is it possible to include negative values in two-step equations?

Yes, two-step equations can contain negative values, and the method of solution stays the same.

Why are two-step equations important?

Two-step equations are important because they build on students’ basic skills for solving one-step equations, preparing them for more sophisticated algebraic topics.

Is it possible to solve a two-step equation using fractions or decimals?

Fractions and decimals may be utilized in two-step equations. The method of solving stays the same: isolate the variable using inverse operations.