WordGPT

Solve 8x + 2 = 106

The solution of 8x + 2 = 106 is x = 13.

Explain it step by step in chatMake a short video of it
The lines y = 8x + 2 and y = 106 meet at x = 13810121416186080100120140160x = 13y = 8x + 2y = 106
The lines y = 8x + 2 and y = 106 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+2=1068x + 2 = 106
  2. 2

    Subtract 2 from both sides:

    8x+2−2=106−2 ⇒ 8x=1048x + 2 - 2 = 106 - 2 \ \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+2=104+2=106✓8\cdot13 + 2 = 104 + 2 = 106 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 2 = 106\ \Rightarrow\ x = 13 \]
\[ 8x + 2 = 106 \]
\[ 8x + 2 - 2 = 106 - 2 \ \Rightarrow\ 8x = 104 \]
\[ \frac{8x}{8} = \frac{104}{8} \ \Rightarrow\ x = 13 \]
\[ 8\cdot13 + 2 = 104 + 2 = 106 \checkmark \]

Trying values of x in 8x + 2 = 106

x8x + 2Equals 106?
1190no
1298no
13106yes
14114no
15122no

Questions

What is x in 8x + 2 = 106?

The solution of 8x + 2 = 106 is x = 13.

How do you solve 8x + 2 = 106?

Subtract 2 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) + 2 = 106, which is 106.

Similar equations

    Solve 8x + 2 = 106: x = 13 (steps and check) | WordGPT