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Solve 8x + 13 = 109

The solution of 8x + 13 = 109 is x = 12.

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The lines y = 8x + 13 and y = 109 meet at x = 126810121416186080100120140160x = 12y = 8x + 13y = 109
The lines y = 8x + 13 and y = 109 meet at x = 12. 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=1098x + 13 = 109
  2. 2

    Subtract 13 from both sides:

    8x+13−13=109−13 ⇒ 8x=968x + 13 - 13 = 109 - 13 \ \Rightarrow\ 8x = 96
  3. 3

    Divide both sides by 8:

    8x8=968 ⇒ x=12\frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    8⋅12+13=96+13=109✓8\cdot12 + 13 = 96 + 13 = 109 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 109\ \Rightarrow\ x = 12 \]
\[ 8x + 13 = 109 \]
\[ 8x + 13 - 13 = 109 - 13 \ \Rightarrow\ 8x = 96 \]
\[ \frac{8x}{8} = \frac{96}{8} \ \Rightarrow\ x = 12 \]
\[ 8\cdot12 + 13 = 96 + 13 = 109 \checkmark \]

Trying values of x in 8x + 13 = 109

x8x + 13Equals 109?
1093no
11101no
12109yes
13117no
14125no

Questions

What is x in 8x + 13 = 109?

The solution of 8x + 13 = 109 is x = 12.

How do you solve 8x + 13 = 109?

Subtract 13 from both sides to get 8x = 96, then divide both sides by 8 to get x = 12.

How do I check the answer?

Replace x by 12: 8(12) + 13 = 109, which is 109.

Similar equations

    Solve 8x + 13 = 109: x = 12 (steps and check) | WordGPT