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Solve 8x + 2 = 122

The solution of 8x + 2 = 122 is x = 15.

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The lines y = 8x + 2 and y = 122 meet at x = 1510121416182080100120140160180x = 15y = 8x + 2y = 122
The lines y = 8x + 2 and y = 122 meet at x = 15. 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=1228x + 2 = 122
  2. 2

    Subtract 2 from both sides:

    8x+2−2=122−2 ⇒ 8x=1208x + 2 - 2 = 122 - 2 \ \Rightarrow\ 8x = 120
  3. 3

    Divide both sides by 8:

    8x8=1208 ⇒ x=15\frac{8x}{8} = \frac{120}{8} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    8⋅15+2=120+2=122✓8\cdot15 + 2 = 120 + 2 = 122 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 2 = 122\ \Rightarrow\ x = 15 \]
\[ 8x + 2 = 122 \]
\[ 8x + 2 - 2 = 122 - 2 \ \Rightarrow\ 8x = 120 \]
\[ \frac{8x}{8} = \frac{120}{8} \ \Rightarrow\ x = 15 \]
\[ 8\cdot15 + 2 = 120 + 2 = 122 \checkmark \]

Trying values of x in 8x + 2 = 122

x8x + 2Equals 122?
13106no
14114no
15122yes
16130no
17138no

Questions

What is x in 8x + 2 = 122?

The solution of 8x + 2 = 122 is x = 15.

How do you solve 8x + 2 = 122?

Subtract 2 from both sides to get 8x = 120, then divide both sides by 8 to get x = 15.

How do I check the answer?

Replace x by 15: 8(15) + 2 = 122, which is 122.

Similar equations

    Solve 8x + 2 = 122: x = 15 (steps and check) | WordGPT