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Solve 7x + 1 = 22

The solution of 7x + 1 = 22 is x = 3.

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The lines y = 7x + 1 and y = 22 meet at x = 3-22468-20204060x = 3y = 7x + 1y = 22
The lines y = 7x + 1 and y = 22 meet at x = 3. 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=227x + 1 = 22
  2. 2

    Subtract 1 from both sides:

    7x+1−1=22−1 ⇒ 7x=217x + 1 - 1 = 22 - 1 \ \Rightarrow\ 7x = 21
  3. 3

    Divide both sides by 7:

    7x7=217 ⇒ x=3\frac{7x}{7} = \frac{21}{7} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    7⋅3+1=21+1=22✓7\cdot3 + 1 = 21 + 1 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 22\ \Rightarrow\ x = 3 \]
\[ 7x + 1 = 22 \]
\[ 7x + 1 - 1 = 22 - 1 \ \Rightarrow\ 7x = 21 \]
\[ \frac{7x}{7} = \frac{21}{7} \ \Rightarrow\ x = 3 \]
\[ 7\cdot3 + 1 = 21 + 1 = 22 \checkmark \]

Trying values of x in 7x + 1 = 22

x7x + 1Equals 22?
18no
215no
322yes
429no
536no

Questions

What is x in 7x + 1 = 22?

The solution of 7x + 1 = 22 is x = 3.

How do you solve 7x + 1 = 22?

Subtract 1 from both sides to get 7x = 21, then divide both sides by 7 to get x = 3.

How do I check the answer?

Replace x by 3: 7(3) + 1 = 22, which is 22.

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    Solve 7x + 1 = 22: x = 3 (steps and check) | WordGPT