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Solve 11x + 7 = 62

The solution of 11x + 7 = 62 is x = 5.

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The lines y = 11x + 7 and y = 62 meet at x = 524681020406080100120140x = 5y = 11x + 7y = 62
The lines y = 11x + 7 and y = 62 meet at x = 5. 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=6211x + 7 = 62
  2. 2

    Subtract 7 from both sides:

    11x+7−7=62−7 ⇒ 11x=5511x + 7 - 7 = 62 - 7 \ \Rightarrow\ 11x = 55
  3. 3

    Divide both sides by 11:

    11x11=5511 ⇒ x=5\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    11⋅5+7=55+7=62✓11\cdot5 + 7 = 55 + 7 = 62 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 7 = 62\ \Rightarrow\ x = 5 \]
\[ 11x + 7 = 62 \]
\[ 11x + 7 - 7 = 62 - 7 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 + 7 = 55 + 7 = 62 \checkmark \]

Trying values of x in 11x + 7 = 62

x11x + 7Equals 62?
340no
451no
562yes
673no
784no

Questions

What is x in 11x + 7 = 62?

The solution of 11x + 7 = 62 is x = 5.

How do you solve 11x + 7 = 62?

Subtract 7 from both sides to get 11x = 55, then divide both sides by 11 to get x = 5.

How do I check the answer?

Replace x by 5: 11(5) + 7 = 62, which is 62.

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    Solve 11x + 7 = 62: x = 5 (steps and check) | WordGPT