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Solve 10x + 12 = 82

The solution of 10x + 12 = 82 is x = 7.

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The lines y = 10x + 12 and y = 82 meet at x = 72468101220406080100120140x = 7y = 10x + 12y = 82
The lines y = 10x + 12 and y = 82 meet at x = 7. 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+12=8210x + 12 = 82
  2. 2

    Subtract 12 from both sides:

    10x+12−12=82−12 ⇒ 10x=7010x + 12 - 12 = 82 - 12 \ \Rightarrow\ 10x = 70
  3. 3

    Divide both sides by 10:

    10x10=7010 ⇒ x=7\frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    10⋅7+12=70+12=82✓10\cdot7 + 12 = 70 + 12 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 12 = 82\ \Rightarrow\ x = 7 \]
\[ 10x + 12 = 82 \]
\[ 10x + 12 - 12 = 82 - 12 \ \Rightarrow\ 10x = 70 \]
\[ \frac{10x}{10} = \frac{70}{10} \ \Rightarrow\ x = 7 \]
\[ 10\cdot7 + 12 = 70 + 12 = 82 \checkmark \]

Trying values of x in 10x + 12 = 82

x10x + 12Equals 82?
562no
672no
782yes
892no
9102no

Questions

What is x in 10x + 12 = 82?

The solution of 10x + 12 = 82 is x = 7.

How do you solve 10x + 12 = 82?

Subtract 12 from both sides to get 10x = 70, then divide both sides by 10 to get x = 7.

How do I check the answer?

Replace x by 7: 10(7) + 12 = 82, which is 82.

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    Solve 10x + 12 = 82: x = 7 (steps and check) | WordGPT