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Solve 6x + 11 = 89

The solution of 6x + 11 = 89 is x = 13.

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The lines y = 6x + 11 and y = 89 meet at x = 13810121416185060708090100110120130x = 13y = 6x + 11y = 89
The lines y = 6x + 11 and y = 89 meet at x = 13. 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=896x + 11 = 89
  2. 2

    Subtract 11 from both sides:

    6x+11−11=89−11 ⇒ 6x=786x + 11 - 11 = 89 - 11 \ \Rightarrow\ 6x = 78
  3. 3

    Divide both sides by 6:

    6x6=786 ⇒ x=13\frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    6⋅13+11=78+11=89✓6\cdot13 + 11 = 78 + 11 = 89 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 11 = 89\ \Rightarrow\ x = 13 \]
\[ 6x + 11 = 89 \]
\[ 6x + 11 - 11 = 89 - 11 \ \Rightarrow\ 6x = 78 \]
\[ \frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13 \]
\[ 6\cdot13 + 11 = 78 + 11 = 89 \checkmark \]

Trying values of x in 6x + 11 = 89

x6x + 11Equals 89?
1177no
1283no
1389yes
1495no
15101no

Questions

What is x in 6x + 11 = 89?

The solution of 6x + 11 = 89 is x = 13.

How do you solve 6x + 11 = 89?

Subtract 11 from both sides to get 6x = 78, then divide both sides by 6 to get x = 13.

How do I check the answer?

Replace x by 13: 6(13) + 11 = 89, which is 89.

Similar equations

    Solve 6x + 11 = 89: x = 13 (steps and check) | WordGPT