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Solve 5x + 1 = 51

The solution of 5x + 1 = 51 is x = 10.

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The lines y = 5x + 1 and y = 51 meet at x = 104681012141620304050607080x = 10y = 5x + 1y = 51
The lines y = 5x + 1 and y = 51 meet at x = 10. 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=515x + 1 = 51
  2. 2

    Subtract 1 from both sides:

    5x+1−1=51−1 ⇒ 5x=505x + 1 - 1 = 51 - 1 \ \Rightarrow\ 5x = 50
  3. 3

    Divide both sides by 5:

    5x5=505 ⇒ x=10\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    5⋅10+1=50+1=51✓5\cdot10 + 1 = 50 + 1 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 51\ \Rightarrow\ x = 10 \]
\[ 5x + 1 = 51 \]
\[ 5x + 1 - 1 = 51 - 1 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 + 1 = 50 + 1 = 51 \checkmark \]

Trying values of x in 5x + 1 = 51

x5x + 1Equals 51?
841no
946no
1051yes
1156no
1261no

Questions

What is x in 5x + 1 = 51?

The solution of 5x + 1 = 51 is x = 10.

How do you solve 5x + 1 = 51?

Subtract 1 from both sides to get 5x = 50, then divide both sides by 5 to get x = 10.

How do I check the answer?

Replace x by 10: 5(10) + 1 = 51, which is 51.

Similar equations

    Solve 5x + 1 = 51: x = 10 (steps and check) | WordGPT