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Solve 5x + 13 = 83

The solution of 5x + 13 = 83 is x = 14.

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The lines y = 5x + 13 and y = 83 meet at x = 1481012141618205060708090100110x = 14y = 5x + 13y = 83
The lines y = 5x + 13 and y = 83 meet at x = 14. 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=835x + 13 = 83
  2. 2

    Subtract 13 from both sides:

    5x+13−13=83−13 ⇒ 5x=705x + 13 - 13 = 83 - 13 \ \Rightarrow\ 5x = 70
  3. 3

    Divide both sides by 5:

    5x5=705 ⇒ x=14\frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    5⋅14+13=70+13=83✓5\cdot14 + 13 = 70 + 13 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 83\ \Rightarrow\ x = 14 \]
\[ 5x + 13 = 83 \]
\[ 5x + 13 - 13 = 83 - 13 \ \Rightarrow\ 5x = 70 \]
\[ \frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14 \]
\[ 5\cdot14 + 13 = 70 + 13 = 83 \checkmark \]

Trying values of x in 5x + 13 = 83

x5x + 13Equals 83?
1273no
1378no
1483yes
1588no
1693no

Questions

What is x in 5x + 13 = 83?

The solution of 5x + 13 = 83 is x = 14.

How do you solve 5x + 13 = 83?

Subtract 13 from both sides to get 5x = 70, then divide both sides by 5 to get x = 14.

How do I check the answer?

Replace x by 14: 5(14) + 13 = 83, which is 83.

Similar equations

    Solve 5x + 13 = 83: x = 14 (steps and check) | WordGPT