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Solve 11x + 5 = 27

The solution of 11x + 5 = 27 is x = 2.

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The lines y = 11x + 5 and y = 27 meet at x = 2-4-22468-40-2020406080100x = 2y = 11x + 5y = 27
The lines y = 11x + 5 and y = 27 meet at x = 2. 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.

    11x+5=2711x + 5 = 27
  2. 2

    Subtract 5 from both sides:

    11x+5−5=27−5 ⇒ 11x=2211x + 5 - 5 = 27 - 5 \ \Rightarrow\ 11x = 22
  3. 3

    Divide both sides by 11:

    11x11=2211 ⇒ x=2\frac{11x}{11} = \frac{22}{11} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    11⋅2+5=22+5=27✓11\cdot2 + 5 = 22 + 5 = 27 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 5 = 27\ \Rightarrow\ x = 2 \]
\[ 11x + 5 = 27 \]
\[ 11x + 5 - 5 = 27 - 5 \ \Rightarrow\ 11x = 22 \]
\[ \frac{11x}{11} = \frac{22}{11} \ \Rightarrow\ x = 2 \]
\[ 11\cdot2 + 5 = 22 + 5 = 27 \checkmark \]

Trying values of x in 11x + 5 = 27

x11x + 5Equals 27?
05no
116no
227yes
338no
449no

Questions

What is x in 11x + 5 = 27?

The solution of 11x + 5 = 27 is x = 2.

How do you solve 11x + 5 = 27?

Subtract 5 from both sides to get 11x = 22, then divide both sides by 11 to get x = 2.

How do I check the answer?

Replace x by 2: 11(2) + 5 = 27, which is 27.

Similar equations

    Solve 11x + 5 = 27: x = 2 (steps and check) | WordGPT