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Solve 2x + 11 = 33

The solution of 2x + 11 = 33 is x = 11.

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The lines y = 2x + 11 and y = 33 meet at x = 116810121416202530354045x = 11y = 2x + 11y = 33
The lines y = 2x + 11 and y = 33 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.

    2x+11=332x + 11 = 33
  2. 2

    Subtract 11 from both sides:

    2x+11−11=33−11 ⇒ 2x=222x + 11 - 11 = 33 - 11 \ \Rightarrow\ 2x = 22
  3. 3

    Divide both sides by 2:

    2x2=222 ⇒ x=11\frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    2⋅11+11=22+11=33✓2\cdot11 + 11 = 22 + 11 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 33\ \Rightarrow\ x = 11 \]
\[ 2x + 11 = 33 \]
\[ 2x + 11 - 11 = 33 - 11 \ \Rightarrow\ 2x = 22 \]
\[ \frac{2x}{2} = \frac{22}{2} \ \Rightarrow\ x = 11 \]
\[ 2\cdot11 + 11 = 22 + 11 = 33 \checkmark \]

Trying values of x in 2x + 11 = 33

x2x + 11Equals 33?
929no
1031no
1133yes
1235no
1337no

Questions

What is x in 2x + 11 = 33?

The solution of 2x + 11 = 33 is x = 11.

How do you solve 2x + 11 = 33?

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

How do I check the answer?

Replace x by 11: 2(11) + 11 = 33, which is 33.

Similar equations

    Solve 2x + 11 = 33: x = 11 (steps and check) | WordGPT