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Solve 5x + 11 = 66

The solution of 5x + 11 = 66 is x = 11.

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The lines y = 5x + 11 and y = 66 meet at x = 11681012141630405060708090100x = 11y = 5x + 11y = 66
The lines y = 5x + 11 and y = 66 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.

    5x+11=665x + 11 = 66
  2. 2

    Subtract 11 from both sides:

    5x+11−11=66−11 ⇒ 5x=555x + 11 - 11 = 66 - 11 \ \Rightarrow\ 5x = 55
  3. 3

    Divide both sides by 5:

    5x5=555 ⇒ x=11\frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    5⋅11+11=55+11=66✓5\cdot11 + 11 = 55 + 11 = 66 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 66\ \Rightarrow\ x = 11 \]
\[ 5x + 11 = 66 \]
\[ 5x + 11 - 11 = 66 - 11 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 + 11 = 55 + 11 = 66 \checkmark \]

Trying values of x in 5x + 11 = 66

x5x + 11Equals 66?
956no
1061no
1166yes
1271no
1376no

Questions

What is x in 5x + 11 = 66?

The solution of 5x + 11 = 66 is x = 11.

How do you solve 5x + 11 = 66?

Subtract 11 from both sides to get 5x = 55, then divide both sides by 5 to get x = 11.

How do I check the answer?

Replace x by 11: 5(11) + 11 = 66, which is 66.

Similar equations

    Solve 5x + 11 = 66: x = 11 (steps and check) | WordGPT