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Solve 6x + 13 = 85

The solution of 6x + 13 = 85 is x = 12.

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The lines y = 6x + 13 and y = 85 meet at x = 126810121416185060708090100110120x = 12y = 6x + 13y = 85
The lines y = 6x + 13 and y = 85 meet at x = 12. 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=856x + 13 = 85
  2. 2

    Subtract 13 from both sides:

    6x+13−13=85−13 ⇒ 6x=726x + 13 - 13 = 85 - 13 \ \Rightarrow\ 6x = 72
  3. 3

    Divide both sides by 6:

    6x6=726 ⇒ x=12\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    6⋅12+13=72+13=85✓6\cdot12 + 13 = 72 + 13 = 85 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 85\ \Rightarrow\ x = 12 \]
\[ 6x + 13 = 85 \]
\[ 6x + 13 - 13 = 85 - 13 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 + 13 = 72 + 13 = 85 \checkmark \]

Trying values of x in 6x + 13 = 85

x6x + 13Equals 85?
1073no
1179no
1285yes
1391no
1497no

Questions

What is x in 6x + 13 = 85?

The solution of 6x + 13 = 85 is x = 12.

How do you solve 6x + 13 = 85?

Subtract 13 from both sides to get 6x = 72, then divide both sides by 6 to get x = 12.

How do I check the answer?

Replace x by 12: 6(12) + 13 = 85, which is 85.

Similar equations

    Solve 6x + 13 = 85: x = 12 (steps and check) | WordGPT