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Solve 7x + 12 = 82

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

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The lines y = 7x + 12 and y = 82 meet at x = 1046810121416406080100120x = 10y = 7x + 12y = 82
The lines y = 7x + 12 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.

    7x+12=827x + 12 = 82
  2. 2

    Subtract 12 from both sides:

    7x+12−12=82−12 ⇒ 7x=707x + 12 - 12 = 82 - 12 \ \Rightarrow\ 7x = 70
  3. 3

    Divide both sides by 7:

    7x7=707 ⇒ x=10\frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    7⋅10+12=70+12=82✓7\cdot10 + 12 = 70 + 12 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 12 = 82\ \Rightarrow\ x = 10 \]
\[ 7x + 12 = 82 \]
\[ 7x + 12 - 12 = 82 - 12 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 + 12 = 70 + 12 = 82 \checkmark \]

Trying values of x in 7x + 12 = 82

x7x + 12Equals 82?
868no
975no
1082yes
1189no
1296no

Questions

What is x in 7x + 12 = 82?

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

How do you solve 7x + 12 = 82?

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

How do I check the answer?

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

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