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Solve 5x + 1 = 71

The solution of 5x + 1 = 71 is x = 14.

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The lines y = 5x + 1 and y = 71 meet at x = 148101214161820405060708090100x = 14y = 5x + 1y = 71
The lines y = 5x + 1 and y = 71 meet at x = 14. 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=715x + 1 = 71
  2. 2

    Subtract 1 from both sides:

    5x+1−1=71−1 ⇒ 5x=705x + 1 - 1 = 71 - 1 \ \Rightarrow\ 5x = 70
  3. 3

    Divide both sides by 5:

    5x5=705 ⇒ x=14\frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    5⋅14+1=70+1=71✓5\cdot14 + 1 = 70 + 1 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 71\ \Rightarrow\ x = 14 \]
\[ 5x + 1 = 71 \]
\[ 5x + 1 - 1 = 71 - 1 \ \Rightarrow\ 5x = 70 \]
\[ \frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14 \]
\[ 5\cdot14 + 1 = 70 + 1 = 71 \checkmark \]

Trying values of x in 5x + 1 = 71

x5x + 1Equals 71?
1261no
1366no
1471yes
1576no
1681no

Questions

What is x in 5x + 1 = 71?

The solution of 5x + 1 = 71 is x = 14.

How do you solve 5x + 1 = 71?

Subtract 1 from both sides to get 5x = 70, then divide both sides by 5 to get x = 14.

How do I check the answer?

Replace x by 14: 5(14) + 1 = 71, which is 71.

Similar equations

    Solve 5x + 1 = 71: x = 14 (steps and check) | WordGPT