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Solve 3x + 2 = 41

The solution of 3x + 2 = 41 is x = 13.

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The lines y = 3x + 2 and y = 41 meet at x = 1381012141618202530354045505560x = 13y = 3x + 2y = 41
The lines y = 3x + 2 and y = 41 meet at x = 13. 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=413x + 2 = 41
  2. 2

    Subtract 2 from both sides:

    3x+2−2=41−2 ⇒ 3x=393x + 2 - 2 = 41 - 2 \ \Rightarrow\ 3x = 39
  3. 3

    Divide both sides by 3:

    3x3=393 ⇒ x=13\frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    3⋅13+2=39+2=41✓3\cdot13 + 2 = 39 + 2 = 41 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 2 = 41\ \Rightarrow\ x = 13 \]
\[ 3x + 2 = 41 \]
\[ 3x + 2 - 2 = 41 - 2 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 + 2 = 39 + 2 = 41 \checkmark \]

Trying values of x in 3x + 2 = 41

x3x + 2Equals 41?
1135no
1238no
1341yes
1444no
1547no

Questions

What is x in 3x + 2 = 41?

The solution of 3x + 2 = 41 is x = 13.

How do you solve 3x + 2 = 41?

Subtract 2 from both sides to get 3x = 39, then divide both sides by 3 to get x = 13.

How do I check the answer?

Replace x by 13: 3(13) + 2 = 41, which is 41.

Similar equations

    Solve 3x + 2 = 41: x = 13 (steps and check) | WordGPT