How to Solve 2x + 3 = 11

Step-by-step solution

1. Subtract 3 from both sides.

   $$2x + 3 - 3 = 11 - 3$$

   Why: The same number must come off both sides to keep the equation balanced.

2. Simplify both sides.

   $$2x = 8$$

   Why: 3 minus 3 is 0, and 11 minus 3 is 8.

3. Divide both sides by 2.

   $$\frac{2x}{2} = \frac{8}{2}$$

   Why: Dividing by the coefficient leaves x alone on the left side.

4. Write the answer.

   $$x = 4$$

   Why: 8 divided by 2 is 4.

Practice problems

Use the same method. Work each problem on paper, then open the answer to check.

1. 1

   $2x + 5 = 13$

   Show answer

   $x = 4$

2. 2

   $3x - 4 = 11$

   Show answer

   $x = 5$

3. 3

   $\frac{x}{2} + 1 = 6$

   Show answer

   $x = 10$

4. 4

   $5x + 2 = 17$

   Show answer

   $x = 3$

5. 5

   $4x - 7 = 9$

   Show answer

   $x = 4$