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Solve 2x + 13 = 33

The solution of 2x + 13 = 33 is x = 10.

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The lines y = 2x + 13 and y = 33 meet at x = 1046810121416202530354045x = 10y = 2x + 13y = 33
The lines y = 2x + 13 and y = 33 meet at x = 10. 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.

    2x+13=332x + 13 = 33
  2. 2

    Subtract 13 from both sides:

    2x+13−13=33−13 ⇒ 2x=202x + 13 - 13 = 33 - 13 \ \Rightarrow\ 2x = 20
  3. 3

    Divide both sides by 2:

    2x2=202 ⇒ x=10\frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    2⋅10+13=20+13=33✓2\cdot10 + 13 = 20 + 13 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 33\ \Rightarrow\ x = 10 \]
\[ 2x + 13 = 33 \]
\[ 2x + 13 - 13 = 33 - 13 \ \Rightarrow\ 2x = 20 \]
\[ \frac{2x}{2} = \frac{20}{2} \ \Rightarrow\ x = 10 \]
\[ 2\cdot10 + 13 = 20 + 13 = 33 \checkmark \]

Trying values of x in 2x + 13 = 33

x2x + 13Equals 33?
829no
931no
1033yes
1135no
1237no

Questions

What is x in 2x + 13 = 33?

The solution of 2x + 13 = 33 is x = 10.

How do you solve 2x + 13 = 33?

Subtract 13 from both sides to get 2x = 20, then divide both sides by 2 to get x = 10.

How do I check the answer?

Replace x by 10: 2(10) + 13 = 33, which is 33.

Similar equations

    Solve 2x + 13 = 33: x = 10 (steps and check) | WordGPT