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Solve 11x + 7 = 73

The solution of 11x + 7 = 73 is x = 6.

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The lines y = 11x + 7 and y = 73 meet at x = 62468101220406080100120140x = 6y = 11x + 7y = 73
The lines y = 11x + 7 and y = 73 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+7=7311x + 7 = 73
  2. 2

    Subtract 7 from both sides:

    11x+7−7=73−7 ⇒ 11x=6611x + 7 - 7 = 73 - 7 \ \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+7=66+7=73✓11\cdot6 + 7 = 66 + 7 = 73 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 73\ \Rightarrow\ x = 6 \]
\[ 11x + 7 = 73 \]
\[ 11x + 7 - 7 = 73 - 7 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 7 = 66 + 7 = 73 \checkmark \]

Trying values of x in 11x + 7 = 73

x11x + 7Equals 73?
451no
562no
673yes
784no
895no

Questions

What is x in 11x + 7 = 73?

The solution of 11x + 7 = 73 is x = 6.

How do you solve 11x + 7 = 73?

Subtract 7 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) + 7 = 73, which is 73.

Similar equations

    Solve 11x + 7 = 73: x = 6 (steps and check) | WordGPT