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Solve 5x + 13 = 53

The solution of 5x + 13 = 53 is x = 8.

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The lines y = 5x + 13 and y = 53 meet at x = 8246810121420304050607080x = 8y = 5x + 13y = 53
The lines y = 5x + 13 and y = 53 meet at x = 8. 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.

    5x+13=535x + 13 = 53
  2. 2

    Subtract 13 from both sides:

    5x+13−13=53−13 ⇒ 5x=405x + 13 - 13 = 53 - 13 \ \Rightarrow\ 5x = 40
  3. 3

    Divide both sides by 5:

    5x5=405 ⇒ x=8\frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    5⋅8+13=40+13=53✓5\cdot8 + 13 = 40 + 13 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 53\ \Rightarrow\ x = 8 \]
\[ 5x + 13 = 53 \]
\[ 5x + 13 - 13 = 53 - 13 \ \Rightarrow\ 5x = 40 \]
\[ \frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8 \]
\[ 5\cdot8 + 13 = 40 + 13 = 53 \checkmark \]

Trying values of x in 5x + 13 = 53

x5x + 13Equals 53?
643no
748no
853yes
958no
1063no

Questions

What is x in 5x + 13 = 53?

The solution of 5x + 13 = 53 is x = 8.

How do you solve 5x + 13 = 53?

Subtract 13 from both sides to get 5x = 40, then divide both sides by 5 to get x = 8.

How do I check the answer?

Replace x by 8: 5(8) + 13 = 53, which is 53.

Similar equations

    Solve 5x + 13 = 53: x = 8 (steps and check) | WordGPT