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Solve 3x + 1 = 40

The solution of 3x + 1 = 40 is x = 13.

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The lines y = 3x + 1 and y = 40 meet at x = 1381012141618202530354045505560x = 13y = 3x + 1y = 40
The lines y = 3x + 1 and y = 40 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+1=403x + 1 = 40
  2. 2

    Subtract 1 from both sides:

    3x+1−1=40−1 ⇒ 3x=393x + 1 - 1 = 40 - 1 \ \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+1=39+1=40✓3\cdot13 + 1 = 39 + 1 = 40 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 40\ \Rightarrow\ x = 13 \]
\[ 3x + 1 = 40 \]
\[ 3x + 1 - 1 = 40 - 1 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 + 1 = 39 + 1 = 40 \checkmark \]

Trying values of x in 3x + 1 = 40

x3x + 1Equals 40?
1134no
1237no
1340yes
1443no
1546no

Questions

What is x in 3x + 1 = 40?

The solution of 3x + 1 = 40 is x = 13.

How do you solve 3x + 1 = 40?

Subtract 1 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) + 1 = 40, which is 40.

Similar equations

    Solve 3x + 1 = 40: x = 13 (steps and check) | WordGPT