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Solve 10x + 13 = 43

The solution of 10x + 13 = 43 is x = 3.

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The lines y = 10x + 13 and y = 43 meet at x = 3-22468-2020406080100x = 3y = 10x + 13y = 43
The lines y = 10x + 13 and y = 43 meet at x = 3. 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=4310x + 13 = 43
  2. 2

    Subtract 13 from both sides:

    10x+13−13=43−13 ⇒ 10x=3010x + 13 - 13 = 43 - 13 \ \Rightarrow\ 10x = 30
  3. 3

    Divide both sides by 10:

    10x10=3010 ⇒ x=3\frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    10⋅3+13=30+13=43✓10\cdot3 + 13 = 30 + 13 = 43 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 43\ \Rightarrow\ x = 3 \]
\[ 10x + 13 = 43 \]
\[ 10x + 13 - 13 = 43 - 13 \ \Rightarrow\ 10x = 30 \]
\[ \frac{10x}{10} = \frac{30}{10} \ \Rightarrow\ x = 3 \]
\[ 10\cdot3 + 13 = 30 + 13 = 43 \checkmark \]

Trying values of x in 10x + 13 = 43

x10x + 13Equals 43?
123no
233no
343yes
453no
563no

Questions

What is x in 10x + 13 = 43?

The solution of 10x + 13 = 43 is x = 3.

How do you solve 10x + 13 = 43?

Subtract 13 from both sides to get 10x = 30, then divide both sides by 10 to get x = 3.

How do I check the answer?

Replace x by 3: 10(3) + 13 = 43, which is 43.

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    Solve 10x + 13 = 43: x = 3 (steps and check) | WordGPT