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Solve 6x + 13 = 109

The solution of 6x + 13 = 109 is x = 16.

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The lines y = 6x + 13 and y = 109 meet at x = 1610121416182022708090100110120130140150x = 16y = 6x + 13y = 109
The lines y = 6x + 13 and y = 109 meet at x = 16. 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+13=1096x + 13 = 109
  2. 2

    Subtract 13 from both sides:

    6x+13−13=109−13 ⇒ 6x=966x + 13 - 13 = 109 - 13 \ \Rightarrow\ 6x = 96
  3. 3

    Divide both sides by 6:

    6x6=966 ⇒ x=16\frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    6⋅16+13=96+13=109✓6\cdot16 + 13 = 96 + 13 = 109 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 109\ \Rightarrow\ x = 16 \]
\[ 6x + 13 = 109 \]
\[ 6x + 13 - 13 = 109 - 13 \ \Rightarrow\ 6x = 96 \]
\[ \frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16 \]
\[ 6\cdot16 + 13 = 96 + 13 = 109 \checkmark \]

Trying values of x in 6x + 13 = 109

x6x + 13Equals 109?
1497no
15103no
16109yes
17115no
18121no

Questions

What is x in 6x + 13 = 109?

The solution of 6x + 13 = 109 is x = 16.

How do you solve 6x + 13 = 109?

Subtract 13 from both sides to get 6x = 96, then divide both sides by 6 to get x = 16.

How do I check the answer?

Replace x by 16: 6(16) + 13 = 109, which is 109.

Similar equations

    Solve 6x + 13 = 109: x = 16 (steps and check) | WordGPT