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Solve 6x + 11 = 83

The solution of 6x + 11 = 83 is x = 12.

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The lines y = 6x + 11 and y = 83 meet at x = 12681012141618405060708090100110120x = 12y = 6x + 11y = 83
The lines y = 6x + 11 and y = 83 meet at x = 12. 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=836x + 11 = 83
  2. 2

    Subtract 11 from both sides:

    6x+11−11=83−11 ⇒ 6x=726x + 11 - 11 = 83 - 11 \ \Rightarrow\ 6x = 72
  3. 3

    Divide both sides by 6:

    6x6=726 ⇒ x=12\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    6⋅12+11=72+11=83✓6\cdot12 + 11 = 72 + 11 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 11 = 83\ \Rightarrow\ x = 12 \]
\[ 6x + 11 = 83 \]
\[ 6x + 11 - 11 = 83 - 11 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 + 11 = 72 + 11 = 83 \checkmark \]

Trying values of x in 6x + 11 = 83

x6x + 11Equals 83?
1071no
1177no
1283yes
1389no
1495no

Questions

What is x in 6x + 11 = 83?

The solution of 6x + 11 = 83 is x = 12.

How do you solve 6x + 11 = 83?

Subtract 11 from both sides to get 6x = 72, then divide both sides by 6 to get x = 12.

How do I check the answer?

Replace x by 12: 6(12) + 11 = 83, which is 83.

Similar equations

    Solve 6x + 11 = 83: x = 12 (steps and check) | WordGPT