Question

solving equations (two step problems) worksheet 2
solve for x in each problem.
1.) 2x + 8 = 32 2.) 2x + 1 = 5
3.) 3x + 3 = 18 4.) 6x + 1 = 13
5.) 1 + 6x = 67 6.) 4x + 9 = 21
7.) 4x + 10 = 18 8.) 6x + 8 = 8
9.) 7x + 10 = 10 10.) 3 + 4x = 43
11.) 2x + 2 = 22 12.) 4x + 2 = 26

Explanation:

Problem 1: \( 2x + 8 = 32 \)

Step 1: Subtract 8 from both sides

\( 2x + 8 - 8 = 32 - 8 \)
\( 2x = 24 \)

Step 2: Divide both sides by 2

\( \frac{2x}{2} = \frac{24}{2} \)
\( x = 12 \)

Step 1: Subtract 1 from both sides

\( 2x + 1 - 1 = 5 - 1 \)
\( 2x = 4 \)

Step 2: Divide both sides by 2

\( \frac{2x}{2} = \frac{4}{2} \)
\( x = 2 \)

Step 1: Subtract 3 from both sides

\( 3x + 3 - 3 = 18 - 3 \)
\( 3x = 15 \)

Step 2: Divide both sides by 3

\( \frac{3x}{3} = \frac{15}{3} \)
\( x = 5 \)

Answer:

\( x = 12 \)

Problem 2: \( 2x + 1 = 5 \)