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Solve 5x + 13 = 18

The solution of 5x + 13 = 18 is x = 1.

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The lines y = 5x + 13 and y = 18 meet at x = 1-4-2246-101020304050x = 1y = 5x + 13y = 18
The lines y = 5x + 13 and y = 18 meet at x = 1. 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=185x + 13 = 18
  2. 2

    Subtract 13 from both sides:

    5x+13−13=18−13 ⇒ 5x=55x + 13 - 13 = 18 - 13 \ \Rightarrow\ 5x = 5
  3. 3

    Divide both sides by 5:

    5x5=55 ⇒ x=1\frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    5⋅1+13=5+13=18✓5\cdot1 + 13 = 5 + 13 = 18 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 18\ \Rightarrow\ x = 1 \]
\[ 5x + 13 = 18 \]
\[ 5x + 13 - 13 = 18 - 13 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 + 13 = 5 + 13 = 18 \checkmark \]

Trying values of x in 5x + 13 = 18

x5x + 13Equals 18?
-18no
013no
118yes
223no
328no

Questions

What is x in 5x + 13 = 18?

The solution of 5x + 13 = 18 is x = 1.

How do you solve 5x + 13 = 18?

Subtract 13 from both sides to get 5x = 5, then divide both sides by 5 to get x = 1.

How do I check the answer?

Replace x by 1: 5(1) + 13 = 18, which is 18.

Similar equations

    Solve 5x + 13 = 18: x = 1 (steps and check) | WordGPT