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Solve 2x + 13 = 53

The solution of 2x + 13 = 53 is x = 20.

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The lines y = 2x + 13 and y = 53 meet at x = 2014161820222426404550556065x = 20y = 2x + 13y = 53
The lines y = 2x + 13 and y = 53 meet at x = 20. 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.

    2x+13=532x + 13 = 53
  2. 2

    Subtract 13 from both sides:

    2x+13−13=53−13 ⇒ 2x=402x + 13 - 13 = 53 - 13 \ \Rightarrow\ 2x = 40
  3. 3

    Divide both sides by 2:

    2x2=402 ⇒ x=20\frac{2x}{2} = \frac{40}{2} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    2⋅20+13=40+13=53✓2\cdot20 + 13 = 40 + 13 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 53\ \Rightarrow\ x = 20 \]
\[ 2x + 13 = 53 \]
\[ 2x + 13 - 13 = 53 - 13 \ \Rightarrow\ 2x = 40 \]
\[ \frac{2x}{2} = \frac{40}{2} \ \Rightarrow\ x = 20 \]
\[ 2\cdot20 + 13 = 40 + 13 = 53 \checkmark \]

Trying values of x in 2x + 13 = 53

x2x + 13Equals 53?
1849no
1951no
2053yes
2155no
2257no

Questions

What is x in 2x + 13 = 53?

The solution of 2x + 13 = 53 is x = 20.

How do you solve 2x + 13 = 53?

Subtract 13 from both sides to get 2x = 40, then divide both sides by 2 to get x = 20.

How do I check the answer?

Replace x by 20: 2(20) + 13 = 53, which is 53.

Similar equations

    Solve 2x + 13 = 53: x = 20 (steps and check) | WordGPT