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Solve 5x + 1 = 61

The solution of 5x + 1 = 61 is x = 12.

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The lines y = 5x + 1 and y = 61 meet at x = 1268101214161830405060708090x = 12y = 5x + 1y = 61
The lines y = 5x + 1 and y = 61 meet at x = 12. 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=615x + 1 = 61
  2. 2

    Subtract 1 from both sides:

    5x+1−1=61−1 ⇒ 5x=605x + 1 - 1 = 61 - 1 \ \Rightarrow\ 5x = 60
  3. 3

    Divide both sides by 5:

    5x5=605 ⇒ x=12\frac{5x}{5} = \frac{60}{5} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    5⋅12+1=60+1=61✓5\cdot12 + 1 = 60 + 1 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 61\ \Rightarrow\ x = 12 \]
\[ 5x + 1 = 61 \]
\[ 5x + 1 - 1 = 61 - 1 \ \Rightarrow\ 5x = 60 \]
\[ \frac{5x}{5} = \frac{60}{5} \ \Rightarrow\ x = 12 \]
\[ 5\cdot12 + 1 = 60 + 1 = 61 \checkmark \]

Trying values of x in 5x + 1 = 61

x5x + 1Equals 61?
1051no
1156no
1261yes
1366no
1471no

Questions

What is x in 5x + 1 = 61?

The solution of 5x + 1 = 61 is x = 12.

How do you solve 5x + 1 = 61?

Subtract 1 from both sides to get 5x = 60, then divide both sides by 5 to get x = 12.

How do I check the answer?

Replace x by 12: 5(12) + 1 = 61, which is 61.

Similar equations

    Solve 5x + 1 = 61: x = 12 (steps and check) | WordGPT