WordGPT

Solve 12x + 10 = 82

The solution of 12x + 10 = 82 is x = 6.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 10 and y = 82 meet at x = 62468101220406080100120140160x = 6y = 12x + 10y = 82
The lines y = 12x + 10 and y = 82 meet at x = 6. 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.

    12x+10=8212x + 10 = 82
  2. 2

    Subtract 10 from both sides:

    12x+10−10=82−10 ⇒ 12x=7212x + 10 - 10 = 82 - 10 \ \Rightarrow\ 12x = 72
  3. 3

    Divide both sides by 12:

    12x12=7212 ⇒ x=6\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    12⋅6+10=72+10=82✓12\cdot6 + 10 = 72 + 10 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 10 = 82\ \Rightarrow\ x = 6 \]
\[ 12x + 10 = 82 \]
\[ 12x + 10 - 10 = 82 - 10 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 + 10 = 72 + 10 = 82 \checkmark \]

Trying values of x in 12x + 10 = 82

x12x + 10Equals 82?
458no
570no
682yes
794no
8106no

Questions

What is x in 12x + 10 = 82?

The solution of 12x + 10 = 82 is x = 6.

How do you solve 12x + 10 = 82?

Subtract 10 from both sides to get 12x = 72, then divide both sides by 12 to get x = 6.

How do I check the answer?

Replace x by 6: 12(6) + 10 = 82, which is 82.

Similar equations

    Solve 12x + 10 = 82: x = 6 (steps and check) | WordGPT