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Solve 8x + 4 = 108

The solution of 8x + 4 = 108 is x = 13.

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The lines y = 8x + 4 and y = 108 meet at x = 13810121416186080100120140160x = 13y = 8x + 4y = 108
The lines y = 8x + 4 and y = 108 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+4=1088x + 4 = 108
  2. 2

    Subtract 4 from both sides:

    8x+4−4=108−4 ⇒ 8x=1048x + 4 - 4 = 108 - 4 \ \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+4=104+4=108✓8\cdot13 + 4 = 104 + 4 = 108 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 4 = 108\ \Rightarrow\ x = 13 \]
\[ 8x + 4 = 108 \]
\[ 8x + 4 - 4 = 108 - 4 \ \Rightarrow\ 8x = 104 \]
\[ \frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13 \]
\[ 8\cdot13 + 4 = 104 + 4 = 108 \checkmark \]

Trying values of x in 8x + 4 = 108

x8x + 4Equals 108?
1192no
12100no
13108yes
14116no
15124no

Questions

What is x in 8x + 4 = 108?

The solution of 8x + 4 = 108 is x = 13.

How do you solve 8x + 4 = 108?

Subtract 4 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) + 4 = 108, which is 108.

Similar equations

    Solve 8x + 4 = 108: x = 13 (steps and check) | WordGPT