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Solve 5x + 11 = 76

The solution of 5x + 11 = 76 is x = 13.

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The lines y = 5x + 11 and y = 76 meet at x = 1381012141618405060708090100110x = 13y = 5x + 11y = 76
The lines y = 5x + 11 and y = 76 meet at x = 13. 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+11=765x + 11 = 76
  2. 2

    Subtract 11 from both sides:

    5x+11−11=76−11 ⇒ 5x=655x + 11 - 11 = 76 - 11 \ \Rightarrow\ 5x = 65
  3. 3

    Divide both sides by 5:

    5x5=655 ⇒ x=13\frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    5⋅13+11=65+11=76✓5\cdot13 + 11 = 65 + 11 = 76 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 76\ \Rightarrow\ x = 13 \]
\[ 5x + 11 = 76 \]
\[ 5x + 11 - 11 = 76 - 11 \ \Rightarrow\ 5x = 65 \]
\[ \frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13 \]
\[ 5\cdot13 + 11 = 65 + 11 = 76 \checkmark \]

Trying values of x in 5x + 11 = 76

x5x + 11Equals 76?
1166no
1271no
1376yes
1481no
1586no

Questions

What is x in 5x + 11 = 76?

The solution of 5x + 11 = 76 is x = 13.

How do you solve 5x + 11 = 76?

Subtract 11 from both sides to get 5x = 65, then divide both sides by 5 to get x = 13.

How do I check the answer?

Replace x by 13: 5(13) + 11 = 76, which is 76.

Similar equations

    Solve 5x + 11 = 76: x = 13 (steps and check) | WordGPT