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Solve 10x + 13 = 33

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

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The lines y = 10x + 13 and y = 33 meet at x = 2-4-22468-2020406080100x = 2y = 10x + 13y = 33
The lines y = 10x + 13 and y = 33 meet at x = 2. 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.

    10x+13=3310x + 13 = 33
  2. 2

    Subtract 13 from both sides:

    10x+13−13=33−13 ⇒ 10x=2010x + 13 - 13 = 33 - 13 \ \Rightarrow\ 10x = 20
  3. 3

    Divide both sides by 10:

    10x10=2010 ⇒ x=2\frac{10x}{10} = \frac{20}{10} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    10⋅2+13=20+13=33✓10\cdot2 + 13 = 20 + 13 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 33\ \Rightarrow\ x = 2 \]
\[ 10x + 13 = 33 \]
\[ 10x + 13 - 13 = 33 - 13 \ \Rightarrow\ 10x = 20 \]
\[ \frac{10x}{10} = \frac{20}{10} \ \Rightarrow\ x = 2 \]
\[ 10\cdot2 + 13 = 20 + 13 = 33 \checkmark \]

Trying values of x in 10x + 13 = 33

x10x + 13Equals 33?
013no
123no
233yes
343no
453no

Questions

What is x in 10x + 13 = 33?

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

How do you solve 10x + 13 = 33?

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

How do I check the answer?

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

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