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Solve 8x + 9 = 113

The solution of 8x + 9 = 113 is x = 13.

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The lines y = 8x + 9 and y = 113 meet at x = 13810121416186080100120140160x = 13y = 8x + 9y = 113
The lines y = 8x + 9 and y = 113 meet at x = 13. 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+9=1138x + 9 = 113
  2. 2

    Subtract 9 from both sides:

    8x+9−9=113−9 ⇒ 8x=1048x + 9 - 9 = 113 - 9 \ \Rightarrow\ 8x = 104
  3. 3

    Divide both sides by 8:

    8x8=1048 ⇒ x=13\frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    8⋅13+9=104+9=113✓8\cdot13 + 9 = 104 + 9 = 113 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 9 = 113\ \Rightarrow\ x = 13 \]
\[ 8x + 9 = 113 \]
\[ 8x + 9 - 9 = 113 - 9 \ \Rightarrow\ 8x = 104 \]
\[ \frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13 \]
\[ 8\cdot13 + 9 = 104 + 9 = 113 \checkmark \]

Trying values of x in 8x + 9 = 113

x8x + 9Equals 113?
1197no
12105no
13113yes
14121no
15129no

Questions

What is x in 8x + 9 = 113?

The solution of 8x + 9 = 113 is x = 13.

How do you solve 8x + 9 = 113?

Subtract 9 from both sides to get 8x = 104, then divide both sides by 8 to get x = 13.

How do I check the answer?

Replace x by 13: 8(13) + 9 = 113, which is 113.

Similar equations

    Solve 8x + 9 = 113: x = 13 (steps and check) | WordGPT