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Solve 7x + 11 = 81

The solution of 7x + 11 = 81 is x = 10.

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The lines y = 7x + 11 and y = 81 meet at x = 1046810121416406080100120x = 10y = 7x + 11y = 81
The lines y = 7x + 11 and y = 81 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+11=817x + 11 = 81
  2. 2

    Subtract 11 from both sides:

    7x+11−11=81−11 ⇒ 7x=707x + 11 - 11 = 81 - 11 \ \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+11=70+11=81✓7\cdot10 + 11 = 70 + 11 = 81 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 81\ \Rightarrow\ x = 10 \]
\[ 7x + 11 = 81 \]
\[ 7x + 11 - 11 = 81 - 11 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 + 11 = 70 + 11 = 81 \checkmark \]

Trying values of x in 7x + 11 = 81

x7x + 11Equals 81?
867no
974no
1081yes
1188no
1295no

Questions

What is x in 7x + 11 = 81?

The solution of 7x + 11 = 81 is x = 10.

How do you solve 7x + 11 = 81?

Subtract 11 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) + 11 = 81, which is 81.

Similar equations

    Solve 7x + 11 = 81: x = 10 (steps and check) | WordGPT