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Solve 3x + 13 = 40

The solution of 3x + 13 = 40 is x = 9.

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The lines y = 3x + 13 and y = 40 meet at x = 9468101214202530354045505560x = 9y = 3x + 13y = 40
The lines y = 3x + 13 and y = 40 meet at x = 9. 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+13=403x + 13 = 40
  2. 2

    Subtract 13 from both sides:

    3x+13−13=40−13 ⇒ 3x=273x + 13 - 13 = 40 - 13 \ \Rightarrow\ 3x = 27
  3. 3

    Divide both sides by 3:

    3x3=273 ⇒ x=9\frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    3⋅9+13=27+13=40✓3\cdot9 + 13 = 27 + 13 = 40 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 40\ \Rightarrow\ x = 9 \]
\[ 3x + 13 = 40 \]
\[ 3x + 13 - 13 = 40 - 13 \ \Rightarrow\ 3x = 27 \]
\[ \frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9 \]
\[ 3\cdot9 + 13 = 27 + 13 = 40 \checkmark \]

Trying values of x in 3x + 13 = 40

x3x + 13Equals 40?
734no
837no
940yes
1043no
1146no

Questions

What is x in 3x + 13 = 40?

The solution of 3x + 13 = 40 is x = 9.

How do you solve 3x + 13 = 40?

Subtract 13 from both sides to get 3x = 27, then divide both sides by 3 to get x = 9.

How do I check the answer?

Replace x by 9: 3(9) + 13 = 40, which is 40.

Similar equations

    Solve 3x + 13 = 40: x = 9 (steps and check) | WordGPT