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Solve 5x + 8 = 13

The solution of 5x + 8 = 13 is x = 1.

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The lines y = 5x + 8 and y = 13 meet at x = 1-4-2246-20-1010203040x = 1y = 5x + 8y = 13
The lines y = 5x + 8 and y = 13 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+8=135x + 8 = 13
  2. 2

    Subtract 8 from both sides:

    5x+8−8=13−8 ⇒ 5x=55x + 8 - 8 = 13 - 8 \ \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+8=5+8=13✓5\cdot1 + 8 = 5 + 8 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 8 = 13\ \Rightarrow\ x = 1 \]
\[ 5x + 8 = 13 \]
\[ 5x + 8 - 8 = 13 - 8 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 + 8 = 5 + 8 = 13 \checkmark \]

Trying values of x in 5x + 8 = 13

x5x + 8Equals 13?
-13no
08no
113yes
218no
323no

Questions

What is x in 5x + 8 = 13?

The solution of 5x + 8 = 13 is x = 1.

How do you solve 5x + 8 = 13?

Subtract 8 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) + 8 = 13, which is 13.

Similar equations

    Solve 5x + 8 = 13: x = 1 (steps and check) | WordGPT