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Solve 3x + 13 = 34

The solution of 3x + 13 = 34 is x = 7.

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The lines y = 3x + 13 and y = 34 meet at x = 724681012152025303540455055x = 7y = 3x + 13y = 34
The lines y = 3x + 13 and y = 34 meet at x = 7. 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=343x + 13 = 34
  2. 2

    Subtract 13 from both sides:

    3x+13−13=34−13 ⇒ 3x=213x + 13 - 13 = 34 - 13 \ \Rightarrow\ 3x = 21
  3. 3

    Divide both sides by 3:

    3x3=213 ⇒ x=7\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    3⋅7+13=21+13=34✓3\cdot7 + 13 = 21 + 13 = 34 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 34\ \Rightarrow\ x = 7 \]
\[ 3x + 13 = 34 \]
\[ 3x + 13 - 13 = 34 - 13 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 + 13 = 21 + 13 = 34 \checkmark \]

Trying values of x in 3x + 13 = 34

x3x + 13Equals 34?
528no
631no
734yes
837no
940no

Questions

What is x in 3x + 13 = 34?

The solution of 3x + 13 = 34 is x = 7.

How do you solve 3x + 13 = 34?

Subtract 13 from both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) + 13 = 34, which is 34.

Similar equations

    Solve 3x + 13 = 34: x = 7 (steps and check) | WordGPT