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Solve 11x + 6 = 72

The solution of 11x + 6 = 72 is x = 6.

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The lines y = 11x + 6 and y = 72 meet at x = 62468101220406080100120140x = 6y = 11x + 6y = 72
The lines y = 11x + 6 and y = 72 meet at x = 6. 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+6=7211x + 6 = 72
  2. 2

    Subtract 6 from both sides:

    11x+6−6=72−6 ⇒ 11x=6611x + 6 - 6 = 72 - 6 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611 ⇒ x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11⋅6+6=66+6=72✓11\cdot6 + 6 = 66 + 6 = 72 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 6 = 72\ \Rightarrow\ x = 6 \]
\[ 11x + 6 = 72 \]
\[ 11x + 6 - 6 = 72 - 6 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 6 = 66 + 6 = 72 \checkmark \]

Trying values of x in 11x + 6 = 72

x11x + 6Equals 72?
450no
561no
672yes
783no
894no

Questions

What is x in 11x + 6 = 72?

The solution of 11x + 6 = 72 is x = 6.

How do you solve 11x + 6 = 72?

Subtract 6 from both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) + 6 = 72, which is 72.

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    Solve 11x + 6 = 72: x = 6 (steps and check) | WordGPT