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Solve 8x + 2 = 82

The solution of 8x + 2 = 82 is x = 10.

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The lines y = 8x + 2 and y = 82 meet at x = 1046810121416406080100120140x = 10y = 8x + 2y = 82
The lines y = 8x + 2 and y = 82 meet at x = 10. 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=828x + 2 = 82
  2. 2

    Subtract 2 from both sides:

    8x+2−2=82−2 ⇒ 8x=808x + 2 - 2 = 82 - 2 \ \Rightarrow\ 8x = 80
  3. 3

    Divide both sides by 8:

    8x8=808 ⇒ x=10\frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    8⋅10+2=80+2=82✓8\cdot10 + 2 = 80 + 2 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 2 = 82\ \Rightarrow\ x = 10 \]
\[ 8x + 2 = 82 \]
\[ 8x + 2 - 2 = 82 - 2 \ \Rightarrow\ 8x = 80 \]
\[ \frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10 \]
\[ 8\cdot10 + 2 = 80 + 2 = 82 \checkmark \]

Trying values of x in 8x + 2 = 82

x8x + 2Equals 82?
866no
974no
1082yes
1190no
1298no

Questions

What is x in 8x + 2 = 82?

The solution of 8x + 2 = 82 is x = 10.

How do you solve 8x + 2 = 82?

Subtract 2 from both sides to get 8x = 80, then divide both sides by 8 to get x = 10.

How do I check the answer?

Replace x by 10: 8(10) + 2 = 82, which is 82.

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    Solve 8x + 2 = 82: x = 10 (steps and check) | WordGPT