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Solve 5x + 7 = 82

The solution of 5x + 7 = 82 is x = 15.

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The lines y = 5x + 7 and y = 82 meet at x = 151012141618205060708090100110x = 15y = 5x + 7y = 82
The lines y = 5x + 7 and y = 82 meet at x = 15. 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+7=825x + 7 = 82
  2. 2

    Subtract 7 from both sides:

    5x+7−7=82−7 ⇒ 5x=755x + 7 - 7 = 82 - 7 \ \Rightarrow\ 5x = 75
  3. 3

    Divide both sides by 5:

    5x5=755 ⇒ x=15\frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    5⋅15+7=75+7=82✓5\cdot15 + 7 = 75 + 7 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 7 = 82\ \Rightarrow\ x = 15 \]
\[ 5x + 7 = 82 \]
\[ 5x + 7 - 7 = 82 - 7 \ \Rightarrow\ 5x = 75 \]
\[ \frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15 \]
\[ 5\cdot15 + 7 = 75 + 7 = 82 \checkmark \]

Trying values of x in 5x + 7 = 82

x5x + 7Equals 82?
1372no
1477no
1582yes
1687no
1792no

Questions

What is x in 5x + 7 = 82?

The solution of 5x + 7 = 82 is x = 15.

How do you solve 5x + 7 = 82?

Subtract 7 from both sides to get 5x = 75, then divide both sides by 5 to get x = 15.

How do I check the answer?

Replace x by 15: 5(15) + 7 = 82, which is 82.

Similar equations

    Solve 5x + 7 = 82: x = 15 (steps and check) | WordGPT