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Solve 5x + 2 = 82

The solution of 5x + 2 = 82 is x = 16.

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The lines y = 5x + 2 and y = 82 meet at x = 16101214161820225060708090100110x = 16y = 5x + 2y = 82
The lines y = 5x + 2 and y = 82 meet at x = 16. 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.

    5x+2=825x + 2 = 82
  2. 2

    Subtract 2 from both sides:

    5x+2−2=82−2 ⇒ 5x=805x + 2 - 2 = 82 - 2 \ \Rightarrow\ 5x = 80
  3. 3

    Divide both sides by 5:

    5x5=805 ⇒ x=16\frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    5⋅16+2=80+2=82✓5\cdot16 + 2 = 80 + 2 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 2 = 82\ \Rightarrow\ x = 16 \]
\[ 5x + 2 = 82 \]
\[ 5x + 2 - 2 = 82 - 2 \ \Rightarrow\ 5x = 80 \]
\[ \frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16 \]
\[ 5\cdot16 + 2 = 80 + 2 = 82 \checkmark \]

Trying values of x in 5x + 2 = 82

x5x + 2Equals 82?
1472no
1577no
1682yes
1787no
1892no

Questions

What is x in 5x + 2 = 82?

The solution of 5x + 2 = 82 is x = 16.

How do you solve 5x + 2 = 82?

Subtract 2 from both sides to get 5x = 80, then divide both sides by 5 to get x = 16.

How do I check the answer?

Replace x by 16: 5(16) + 2 = 82, which is 82.

Similar equations

    Solve 5x + 2 = 82: x = 16 (steps and check) | WordGPT