WordGPT

Solve 10x + 2 = 82

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

Explain it step by step in chatMake a short video of it
The lines y = 10x + 2 and y = 82 meet at x = 8246810121420406080100120140x = 8y = 10x + 2y = 82
The lines y = 10x + 2 and y = 82 meet at x = 8. 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.

    10x+2=8210x + 2 = 82
  2. 2

    Subtract 2 from both sides:

    10x+2−2=82−2 ⇒ 10x=8010x + 2 - 2 = 82 - 2 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+2=80+2=82✓10\cdot8 + 2 = 80 + 2 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 2 = 82\ \Rightarrow\ x = 8 \]
\[ 10x + 2 = 82 \]
\[ 10x + 2 - 2 = 82 - 2 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 2 = 80 + 2 = 82 \checkmark \]

Trying values of x in 10x + 2 = 82

x10x + 2Equals 82?
662no
772no
882yes
992no
10102no

Questions

What is x in 10x + 2 = 82?

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

How do you solve 10x + 2 = 82?

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

How do I check the answer?

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

Similar equations

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