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Solve 8x + 13 = 117

The solution of 8x + 13 = 117 is x = 13.

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The lines y = 8x + 13 and y = 117 meet at x = 13810121416186080100120140160x = 13y = 8x + 13y = 117
The lines y = 8x + 13 and y = 117 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+13=1178x + 13 = 117
  2. 2

    Subtract 13 from both sides:

    8x+13−13=117−13 ⇒ 8x=1048x + 13 - 13 = 117 - 13 \ \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+13=104+13=117✓8\cdot13 + 13 = 104 + 13 = 117 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 117\ \Rightarrow\ x = 13 \]
\[ 8x + 13 = 117 \]
\[ 8x + 13 - 13 = 117 - 13 \ \Rightarrow\ 8x = 104 \]
\[ \frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13 \]
\[ 8\cdot13 + 13 = 104 + 13 = 117 \checkmark \]

Trying values of x in 8x + 13 = 117

x8x + 13Equals 117?
11101no
12109no
13117yes
14125no
15133no

Questions

What is x in 8x + 13 = 117?

The solution of 8x + 13 = 117 is x = 13.

How do you solve 8x + 13 = 117?

Subtract 13 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) + 13 = 117, which is 117.

Similar equations

    Solve 8x + 13 = 117: x = 13 (steps and check) | WordGPT