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Solve 6x + 5 = 17

The solution of 6x + 5 = 17 is x = 2.

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The lines y = 6x + 5 and y = 17 meet at x = 2-4-22468-20-10102030405060x = 2y = 6x + 5y = 17
The lines y = 6x + 5 and y = 17 meet at x = 2. 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.

    6x+5=176x + 5 = 17
  2. 2

    Subtract 5 from both sides:

    6x+5−5=17−5 ⇒ 6x=126x + 5 - 5 = 17 - 5 \ \Rightarrow\ 6x = 12
  3. 3

    Divide both sides by 6:

    6x6=126 ⇒ x=2\frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    6⋅2+5=12+5=17✓6\cdot2 + 5 = 12 + 5 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 5 = 17\ \Rightarrow\ x = 2 \]
\[ 6x + 5 = 17 \]
\[ 6x + 5 - 5 = 17 - 5 \ \Rightarrow\ 6x = 12 \]
\[ \frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2 \]
\[ 6\cdot2 + 5 = 12 + 5 = 17 \checkmark \]

Trying values of x in 6x + 5 = 17

x6x + 5Equals 17?
05no
111no
217yes
323no
429no

Questions

What is x in 6x + 5 = 17?

The solution of 6x + 5 = 17 is x = 2.

How do you solve 6x + 5 = 17?

Subtract 5 from both sides to get 6x = 12, then divide both sides by 6 to get x = 2.

How do I check the answer?

Replace x by 2: 6(2) + 5 = 17, which is 17.

Similar equations

    Solve 6x + 5 = 17: x = 2 (steps and check) | WordGPT