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Solve 5x + 13 = 8

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

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The lines y = 5x + 13 and y = 8 meet at x = -1-6-4-224-20-1010203040x = -1y = 5x + 13y = 8
The lines y = 5x + 13 and y = 8 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=85x + 13 = 8
  2. 2

    Subtract 13 from both sides:

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

Trying values of x in 5x + 13 = 8

x5x + 13Equals 8?
-3-2no
-23no
-18yes
013no
118no

Questions

What is x in 5x + 13 = 8?

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

How do you solve 5x + 13 = 8?

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 = 8, which is 8.

Similar equations

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