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Solve 5x + 11 = 111

The solution of 5x + 11 = 111 is x = 20.

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The lines y = 5x + 11 and y = 111 meet at x = 20141618202224268090100110120130140x = 20y = 5x + 11y = 111
The lines y = 5x + 11 and y = 111 meet at x = 20. 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=1115x + 11 = 111
  2. 2

    Subtract 11 from both sides:

    5x+11−11=111−11 ⇒ 5x=1005x + 11 - 11 = 111 - 11 \ \Rightarrow\ 5x = 100
  3. 3

    Divide both sides by 5:

    5x5=1005 ⇒ x=20\frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    5⋅20+11=100+11=111✓5\cdot20 + 11 = 100 + 11 = 111 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 111\ \Rightarrow\ x = 20 \]
\[ 5x + 11 = 111 \]
\[ 5x + 11 - 11 = 111 - 11 \ \Rightarrow\ 5x = 100 \]
\[ \frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20 \]
\[ 5\cdot20 + 11 = 100 + 11 = 111 \checkmark \]

Trying values of x in 5x + 11 = 111

x5x + 11Equals 111?
18101no
19106no
20111yes
21116no
22121no

Questions

What is x in 5x + 11 = 111?

The solution of 5x + 11 = 111 is x = 20.

How do you solve 5x + 11 = 111?

Subtract 11 from both sides to get 5x = 100, then divide both sides by 5 to get x = 20.

How do I check the answer?

Replace x by 20: 5(20) + 11 = 111, which is 111.

Similar equations

    Solve 5x + 11 = 111: x = 20 (steps and check) | WordGPT