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Solve 6x + 9 = 111

The solution of 6x + 9 = 111 is x = 17.

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The lines y = 6x + 9 and y = 111 meet at x = 17121416182022708090100110120130140150x = 17y = 6x + 9y = 111
The lines y = 6x + 9 and y = 111 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.

    6x+9=1116x + 9 = 111
  2. 2

    Subtract 9 from both sides:

    6x+9−9=111−9 ⇒ 6x=1026x + 9 - 9 = 111 - 9 \ \Rightarrow\ 6x = 102
  3. 3

    Divide both sides by 6:

    6x6=1026 ⇒ x=17\frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    6⋅17+9=102+9=111✓6\cdot17 + 9 = 102 + 9 = 111 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 9 = 111\ \Rightarrow\ x = 17 \]
\[ 6x + 9 = 111 \]
\[ 6x + 9 - 9 = 111 - 9 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 + 9 = 102 + 9 = 111 \checkmark \]

Trying values of x in 6x + 9 = 111

x6x + 9Equals 111?
1599no
16105no
17111yes
18117no
19123no

Questions

What is x in 6x + 9 = 111?

The solution of 6x + 9 = 111 is x = 17.

How do you solve 6x + 9 = 111?

Subtract 9 from both sides to get 6x = 102, then divide both sides by 6 to get x = 17.

How do I check the answer?

Replace x by 17: 6(17) + 9 = 111, which is 111.

Similar equations

    Solve 6x + 9 = 111: x = 17 (steps and check) | WordGPT