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Solve 6x + 13 = 115

The solution of 6x + 13 = 115 is x = 17.

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The lines y = 6x + 13 and y = 115 meet at x = 171214161820228090100110120130140150x = 17y = 6x + 13y = 115
The lines y = 6x + 13 and y = 115 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+13=1156x + 13 = 115
  2. 2

    Subtract 13 from both sides:

    6x+13−13=115−13 ⇒ 6x=1026x + 13 - 13 = 115 - 13 \ \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+13=102+13=115✓6\cdot17 + 13 = 102 + 13 = 115 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 115\ \Rightarrow\ x = 17 \]
\[ 6x + 13 = 115 \]
\[ 6x + 13 - 13 = 115 - 13 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 + 13 = 102 + 13 = 115 \checkmark \]

Trying values of x in 6x + 13 = 115

x6x + 13Equals 115?
15103no
16109no
17115yes
18121no
19127no

Questions

What is x in 6x + 13 = 115?

The solution of 6x + 13 = 115 is x = 17.

How do you solve 6x + 13 = 115?

Subtract 13 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) + 13 = 115, which is 115.

Similar equations

    Solve 6x + 13 = 115: x = 17 (steps and check) | WordGPT