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Solve 7x + 1 = 92

The solution of 7x + 1 = 92 is x = 13.

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The lines y = 7x + 1 and y = 92 meet at x = 13810121416186080100120140x = 13y = 7x + 1y = 92
The lines y = 7x + 1 and y = 92 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.

    7x+1=927x + 1 = 92
  2. 2

    Subtract 1 from both sides:

    7x+1−1=92−1 ⇒ 7x=917x + 1 - 1 = 92 - 1 \ \Rightarrow\ 7x = 91
  3. 3

    Divide both sides by 7:

    7x7=917 ⇒ x=13\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    7⋅13+1=91+1=92✓7\cdot13 + 1 = 91 + 1 = 92 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 92\ \Rightarrow\ x = 13 \]
\[ 7x + 1 = 92 \]
\[ 7x + 1 - 1 = 92 - 1 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 1 = 91 + 1 = 92 \checkmark \]

Trying values of x in 7x + 1 = 92

x7x + 1Equals 92?
1178no
1285no
1392yes
1499no
15106no

Questions

What is x in 7x + 1 = 92?

The solution of 7x + 1 = 92 is x = 13.

How do you solve 7x + 1 = 92?

Subtract 1 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 1 = 92, which is 92.

Similar equations

    Solve 7x + 1 = 92: x = 13 (steps and check) | WordGPT