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Solve 8x + 10 = 122

The solution of 8x + 10 = 122 is x = 14.

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The lines y = 8x + 10 and y = 122 meet at x = 14810121416182080100120140160180x = 14y = 8x + 10y = 122
The lines y = 8x + 10 and y = 122 meet at x = 14. 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+10=1228x + 10 = 122
  2. 2

    Subtract 10 from both sides:

    8x+10−10=122−10 ⇒ 8x=1128x + 10 - 10 = 122 - 10 \ \Rightarrow\ 8x = 112
  3. 3

    Divide both sides by 8:

    8x8=1128 ⇒ x=14\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    8⋅14+10=112+10=122✓8\cdot14 + 10 = 112 + 10 = 122 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 10 = 122\ \Rightarrow\ x = 14 \]
\[ 8x + 10 = 122 \]
\[ 8x + 10 - 10 = 122 - 10 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 + 10 = 112 + 10 = 122 \checkmark \]

Trying values of x in 8x + 10 = 122

x8x + 10Equals 122?
12106no
13114no
14122yes
15130no
16138no

Questions

What is x in 8x + 10 = 122?

The solution of 8x + 10 = 122 is x = 14.

How do you solve 8x + 10 = 122?

Subtract 10 from both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) + 10 = 122, which is 122.

Similar equations

    Solve 8x + 10 = 122: x = 14 (steps and check) | WordGPT