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Solve 5x + 13 = 93

The solution of 5x + 13 = 93 is x = 16.

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The lines y = 5x + 13 and y = 93 meet at x = 161012141618202260708090100110120x = 16y = 5x + 13y = 93
The lines y = 5x + 13 and y = 93 meet at x = 16. 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=935x + 13 = 93
  2. 2

    Subtract 13 from both sides:

    5x+13−13=93−13 ⇒ 5x=805x + 13 - 13 = 93 - 13 \ \Rightarrow\ 5x = 80
  3. 3

    Divide both sides by 5:

    5x5=805 ⇒ x=16\frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    5⋅16+13=80+13=93✓5\cdot16 + 13 = 80 + 13 = 93 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 93\ \Rightarrow\ x = 16 \]
\[ 5x + 13 = 93 \]
\[ 5x + 13 - 13 = 93 - 13 \ \Rightarrow\ 5x = 80 \]
\[ \frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16 \]
\[ 5\cdot16 + 13 = 80 + 13 = 93 \checkmark \]

Trying values of x in 5x + 13 = 93

x5x + 13Equals 93?
1483no
1588no
1693yes
1798no
18103no

Questions

What is x in 5x + 13 = 93?

The solution of 5x + 13 = 93 is x = 16.

How do you solve 5x + 13 = 93?

Subtract 13 from both sides to get 5x = 80, then divide both sides by 5 to get x = 16.

How do I check the answer?

Replace x by 16: 5(16) + 13 = 93, which is 93.

Similar equations

    Solve 5x + 13 = 93: x = 16 (steps and check) | WordGPT