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Solve 11x + 14 = 36

The solution of 11x + 14 = 36 is x = 2.

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The lines y = 11x + 14 and y = 36 meet at x = 2-4-22468-40-2020406080100x = 2y = 11x + 14y = 36
The lines y = 11x + 14 and y = 36 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+14=3611x + 14 = 36
  2. 2

    Subtract 14 from both sides:

    11x+14−14=36−14 ⇒ 11x=2211x + 14 - 14 = 36 - 14 \ \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+14=22+14=36✓11\cdot2 + 14 = 22 + 14 = 36 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 36\ \Rightarrow\ x = 2 \]
\[ 11x + 14 = 36 \]
\[ 11x + 14 - 14 = 36 - 14 \ \Rightarrow\ 11x = 22 \]
\[ \frac{11x}{11} = \frac{22}{11} \ \Rightarrow\ x = 2 \]
\[ 11\cdot2 + 14 = 22 + 14 = 36 \checkmark \]

Trying values of x in 11x + 14 = 36

x11x + 14Equals 36?
014no
125no
236yes
347no
458no

Questions

What is x in 11x + 14 = 36?

The solution of 11x + 14 = 36 is x = 2.

How do you solve 11x + 14 = 36?

Subtract 14 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) + 14 = 36, which is 36.

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    Solve 11x + 14 = 36: x = 2 (steps and check) | WordGPT