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Solve 6x + 11 = 23

The solution of 6x + 11 = 23 is x = 2.

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The lines y = 6x + 11 and y = 23 meet at x = 2-4-22468-20-10102030405060x = 2y = 6x + 11y = 23
The lines y = 6x + 11 and y = 23 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.

    6x+11=236x + 11 = 23
  2. 2

    Subtract 11 from both sides:

    6x+11−11=23−11 ⇒ 6x=126x + 11 - 11 = 23 - 11 \ \Rightarrow\ 6x = 12
  3. 3

    Divide both sides by 6:

    6x6=126 ⇒ x=2\frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    6⋅2+11=12+11=23✓6\cdot2 + 11 = 12 + 11 = 23 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 11 = 23\ \Rightarrow\ x = 2 \]
\[ 6x + 11 = 23 \]
\[ 6x + 11 - 11 = 23 - 11 \ \Rightarrow\ 6x = 12 \]
\[ \frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2 \]
\[ 6\cdot2 + 11 = 12 + 11 = 23 \checkmark \]

Trying values of x in 6x + 11 = 23

x6x + 11Equals 23?
011no
117no
223yes
329no
435no

Questions

What is x in 6x + 11 = 23?

The solution of 6x + 11 = 23 is x = 2.

How do you solve 6x + 11 = 23?

Subtract 11 from both sides to get 6x = 12, then divide both sides by 6 to get x = 2.

How do I check the answer?

Replace x by 2: 6(2) + 11 = 23, which is 23.

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    Solve 6x + 11 = 23: x = 2 (steps and check) | WordGPT