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Solve 5x + 1 = 41

The solution of 5x + 1 = 41 is x = 8.

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The lines y = 5x + 1 and y = 41 meet at x = 8246810121410203040506070x = 8y = 5x + 1y = 41
The lines y = 5x + 1 and y = 41 meet at x = 8. 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.

    5x+1=415x + 1 = 41
  2. 2

    Subtract 1 from both sides:

    5x+1−1=41−1 ⇒ 5x=405x + 1 - 1 = 41 - 1 \ \Rightarrow\ 5x = 40
  3. 3

    Divide both sides by 5:

    5x5=405 ⇒ x=8\frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    5⋅8+1=40+1=41✓5\cdot8 + 1 = 40 + 1 = 41 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 41\ \Rightarrow\ x = 8 \]
\[ 5x + 1 = 41 \]
\[ 5x + 1 - 1 = 41 - 1 \ \Rightarrow\ 5x = 40 \]
\[ \frac{5x}{5} = \frac{40}{5} \ \Rightarrow\ x = 8 \]
\[ 5\cdot8 + 1 = 40 + 1 = 41 \checkmark \]

Trying values of x in 5x + 1 = 41

x5x + 1Equals 41?
631no
736no
841yes
946no
1051no

Questions

What is x in 5x + 1 = 41?

The solution of 5x + 1 = 41 is x = 8.

How do you solve 5x + 1 = 41?

Subtract 1 from both sides to get 5x = 40, then divide both sides by 5 to get x = 8.

How do I check the answer?

Replace x by 8: 5(8) + 1 = 41, which is 41.

Similar equations

    Solve 5x + 1 = 41: x = 8 (steps and check) | WordGPT