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Solve 7x + 5 = 82

The solution of 7x + 5 = 82 is x = 11.

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The lines y = 7x + 5 and y = 82 meet at x = 116810121416406080100120x = 11y = 7x + 5y = 82
The lines y = 7x + 5 and y = 82 meet at x = 11. 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+5=827x + 5 = 82
  2. 2

    Subtract 5 from both sides:

    7x+5−5=82−5 ⇒ 7x=777x + 5 - 5 = 82 - 5 \ \Rightarrow\ 7x = 77
  3. 3

    Divide both sides by 7:

    7x7=777 ⇒ x=11\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    7⋅11+5=77+5=82✓7\cdot11 + 5 = 77 + 5 = 82 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 82\ \Rightarrow\ x = 11 \]
\[ 7x + 5 = 82 \]
\[ 7x + 5 - 5 = 82 - 5 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 5 = 77 + 5 = 82 \checkmark \]

Trying values of x in 7x + 5 = 82

x7x + 5Equals 82?
968no
1075no
1182yes
1289no
1396no

Questions

What is x in 7x + 5 = 82?

The solution of 7x + 5 = 82 is x = 11.

How do you solve 7x + 5 = 82?

Subtract 5 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) + 5 = 82, which is 82.

Similar equations

    Solve 7x + 5 = 82: x = 11 (steps and check) | WordGPT