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Solve 5x + 6 = 91

The solution of 5x + 6 = 91 is x = 17.

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The lines y = 5x + 6 and y = 91 meet at x = 1712141618202260708090100110120x = 17y = 5x + 6y = 91
The lines y = 5x + 6 and y = 91 meet at x = 17. 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+6=915x + 6 = 91
  2. 2

    Subtract 6 from both sides:

    5x+6−6=91−6 ⇒ 5x=855x + 6 - 6 = 91 - 6 \ \Rightarrow\ 5x = 85
  3. 3

    Divide both sides by 5:

    5x5=855 ⇒ x=17\frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    5⋅17+6=85+6=91✓5\cdot17 + 6 = 85 + 6 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 6 = 91\ \Rightarrow\ x = 17 \]
\[ 5x + 6 = 91 \]
\[ 5x + 6 - 6 = 91 - 6 \ \Rightarrow\ 5x = 85 \]
\[ \frac{5x}{5} = \frac{85}{5} \ \Rightarrow\ x = 17 \]
\[ 5\cdot17 + 6 = 85 + 6 = 91 \checkmark \]

Trying values of x in 5x + 6 = 91

x5x + 6Equals 91?
1581no
1686no
1791yes
1896no
19101no

Questions

What is x in 5x + 6 = 91?

The solution of 5x + 6 = 91 is x = 17.

How do you solve 5x + 6 = 91?

Subtract 6 from both sides to get 5x = 85, then divide both sides by 5 to get x = 17.

How do I check the answer?

Replace x by 17: 5(17) + 6 = 91, which is 91.

Similar equations

    Solve 5x + 6 = 91: x = 17 (steps and check) | WordGPT