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Solve 8x + 13 = 37

The solution of 8x + 13 = 37 is x = 3.

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The lines y = 8x + 13 and y = 37 meet at x = 3-22468-2020406080x = 3y = 8x + 13y = 37
The lines y = 8x + 13 and y = 37 meet at x = 3. 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=378x + 13 = 37
  2. 2

    Subtract 13 from both sides:

    8x+13−13=37−13 ⇒ 8x=248x + 13 - 13 = 37 - 13 \ \Rightarrow\ 8x = 24
  3. 3

    Divide both sides by 8:

    8x8=248 ⇒ x=3\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    8⋅3+13=24+13=37✓8\cdot3 + 13 = 24 + 13 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 37\ \Rightarrow\ x = 3 \]
\[ 8x + 13 = 37 \]
\[ 8x + 13 - 13 = 37 - 13 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 + 13 = 24 + 13 = 37 \checkmark \]

Trying values of x in 8x + 13 = 37

x8x + 13Equals 37?
121no
229no
337yes
445no
553no

Questions

What is x in 8x + 13 = 37?

The solution of 8x + 13 = 37 is x = 3.

How do you solve 8x + 13 = 37?

Subtract 13 from both sides to get 8x = 24, then divide both sides by 8 to get x = 3.

How do I check the answer?

Replace x by 3: 8(3) + 13 = 37, which is 37.

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    Solve 8x + 13 = 37: x = 3 (steps and check) | WordGPT