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Solve 8x + 13 = 5

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

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The lines y = 8x + 13 and y = 5 meet at x = -1-6-4-224-40-20204060x = -1y = 8x + 13y = 5
The lines y = 8x + 13 and y = 5 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.

    8x+13=58x + 13 = 5
  2. 2

    Subtract 13 from both sides:

    8x+13−13=5−13 ⇒ 8x=−88x + 13 - 13 = 5 - 13 \ \Rightarrow\ 8x = -8
  3. 3

    Divide both sides by 8:

    8x8=−88 ⇒ x=−1\frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    8⋅(−1)+13=−8+13=5✓8\cdot(-1) + 13 = -8 + 13 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 5\ \Rightarrow\ x = -1 \]
\[ 8x + 13 = 5 \]
\[ 8x + 13 - 13 = 5 - 13 \ \Rightarrow\ 8x = -8 \]
\[ \frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1 \]
\[ 8\cdot(-1) + 13 = -8 + 13 = 5 \checkmark \]

Trying values of x in 8x + 13 = 5

x8x + 13Equals 5?
-3-11no
-2-3no
-15yes
013no
121no

Questions

What is x in 8x + 13 = 5?

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

How do you solve 8x + 13 = 5?

Subtract 13 from both sides to get 8x = -8, then divide both sides by 8 to get x = -1.

How do I check the answer?

Replace x by -1: 8(-1) + 13 = 5, which is 5.

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