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Solve 6x + 13 = 133

The solution of 6x + 13 = 133 is x = 20.

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The lines y = 6x + 13 and y = 133 meet at x = 201416182022242690100110120130140150160170x = 20y = 6x + 13y = 133
The lines y = 6x + 13 and y = 133 meet at x = 20. 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=1336x + 13 = 133
  2. 2

    Subtract 13 from both sides:

    6x+13−13=133−13 ⇒ 6x=1206x + 13 - 13 = 133 - 13 \ \Rightarrow\ 6x = 120
  3. 3

    Divide both sides by 6:

    6x6=1206 ⇒ x=20\frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    6⋅20+13=120+13=133✓6\cdot20 + 13 = 120 + 13 = 133 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 133\ \Rightarrow\ x = 20 \]
\[ 6x + 13 = 133 \]
\[ 6x + 13 - 13 = 133 - 13 \ \Rightarrow\ 6x = 120 \]
\[ \frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20 \]
\[ 6\cdot20 + 13 = 120 + 13 = 133 \checkmark \]

Trying values of x in 6x + 13 = 133

x6x + 13Equals 133?
18121no
19127no
20133yes
21139no
22145no

Questions

What is x in 6x + 13 = 133?

The solution of 6x + 13 = 133 is x = 20.

How do you solve 6x + 13 = 133?

Subtract 13 from both sides to get 6x = 120, then divide both sides by 6 to get x = 20.

How do I check the answer?

Replace x by 20: 6(20) + 13 = 133, which is 133.

Similar equations

    Solve 6x + 13 = 133: x = 20 (steps and check) | WordGPT