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Solve 7x + 1 = 29

The solution of 7x + 1 = 29 is x = 4.

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The lines y = 7x + 1 and y = 29 meet at x = 4-2246810-20204060x = 4y = 7x + 1y = 29
The lines y = 7x + 1 and y = 29 meet at x = 4. 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=297x + 1 = 29
  2. 2

    Subtract 1 from both sides:

    7x+1−1=29−1 ⇒ 7x=287x + 1 - 1 = 29 - 1 \ \Rightarrow\ 7x = 28
  3. 3

    Divide both sides by 7:

    7x7=287 ⇒ x=4\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    7⋅4+1=28+1=29✓7\cdot4 + 1 = 28 + 1 = 29 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 29\ \Rightarrow\ x = 4 \]
\[ 7x + 1 = 29 \]
\[ 7x + 1 - 1 = 29 - 1 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 1 = 28 + 1 = 29 \checkmark \]

Trying values of x in 7x + 1 = 29

x7x + 1Equals 29?
215no
322no
429yes
536no
643no

Questions

What is x in 7x + 1 = 29?

The solution of 7x + 1 = 29 is x = 4.

How do you solve 7x + 1 = 29?

Subtract 1 from both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) + 1 = 29, which is 29.

Similar equations

    Solve 7x + 1 = 29: x = 4 (steps and check) | WordGPT