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Solve 3x + 2 = 38

The solution of 3x + 2 = 38 is x = 12.

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The lines y = 3x + 2 and y = 38 meet at x = 126810121416182025303540455055x = 12y = 3x + 2y = 38
The lines y = 3x + 2 and y = 38 meet at x = 12. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+2=383x + 2 = 38
  2. 2

    Subtract 2 from both sides:

    3x+2−2=38−2 ⇒ 3x=363x + 2 - 2 = 38 - 2 \ \Rightarrow\ 3x = 36
  3. 3

    Divide both sides by 3:

    3x3=363 ⇒ x=12\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    3⋅12+2=36+2=38✓3\cdot12 + 2 = 36 + 2 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 2 = 38\ \Rightarrow\ x = 12 \]
\[ 3x + 2 = 38 \]
\[ 3x + 2 - 2 = 38 - 2 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 + 2 = 36 + 2 = 38 \checkmark \]

Trying values of x in 3x + 2 = 38

x3x + 2Equals 38?
1032no
1135no
1238yes
1341no
1444no

Questions

What is x in 3x + 2 = 38?

The solution of 3x + 2 = 38 is x = 12.

How do you solve 3x + 2 = 38?

Subtract 2 from both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) + 2 = 38, which is 38.

Similar equations

    Solve 3x + 2 = 38: x = 12 (steps and check) | WordGPT