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Solve 3x + 13 = 52

The solution of 3x + 13 = 52 is x = 13.

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The lines y = 3x + 13 and y = 52 meet at x = 13810121416183540455055606570x = 13y = 3x + 13y = 52
The lines y = 3x + 13 and y = 52 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+13=523x + 13 = 52
  2. 2

    Subtract 13 from both sides:

    3x+13−13=52−13 ⇒ 3x=393x + 13 - 13 = 52 - 13 \ \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+13=39+13=52✓3\cdot13 + 13 = 39 + 13 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 52\ \Rightarrow\ x = 13 \]
\[ 3x + 13 = 52 \]
\[ 3x + 13 - 13 = 52 - 13 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 + 13 = 39 + 13 = 52 \checkmark \]

Trying values of x in 3x + 13 = 52

x3x + 13Equals 52?
1146no
1249no
1352yes
1455no
1558no

Questions

What is x in 3x + 13 = 52?

The solution of 3x + 13 = 52 is x = 13.

How do you solve 3x + 13 = 52?

Subtract 13 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) + 13 = 52, which is 52.

Similar equations

    Solve 3x + 13 = 52: x = 13 (steps and check) | WordGPT