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Solve 10x + 13 = 163

The solution of 10x + 13 = 163 is x = 15.

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The lines y = 10x + 13 and y = 163 meet at x = 15101214161820100120140160180200220x = 15y = 10x + 13y = 163
The lines y = 10x + 13 and y = 163 meet at x = 15. 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=16310x + 13 = 163
  2. 2

    Subtract 13 from both sides:

    10x+13−13=163−13 ⇒ 10x=15010x + 13 - 13 = 163 - 13 \ \Rightarrow\ 10x = 150
  3. 3

    Divide both sides by 10:

    10x10=15010 ⇒ x=15\frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    10⋅15+13=150+13=163✓10\cdot15 + 13 = 150 + 13 = 163 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 163\ \Rightarrow\ x = 15 \]
\[ 10x + 13 = 163 \]
\[ 10x + 13 - 13 = 163 - 13 \ \Rightarrow\ 10x = 150 \]
\[ \frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15 \]
\[ 10\cdot15 + 13 = 150 + 13 = 163 \checkmark \]

Trying values of x in 10x + 13 = 163

x10x + 13Equals 163?
13143no
14153no
15163yes
16173no
17183no

Questions

What is x in 10x + 13 = 163?

The solution of 10x + 13 = 163 is x = 15.

How do you solve 10x + 13 = 163?

Subtract 13 from both sides to get 10x = 150, then divide both sides by 10 to get x = 15.

How do I check the answer?

Replace x by 15: 10(15) + 13 = 163, which is 163.

Similar equations

    Solve 10x + 13 = 163: x = 15 (steps and check) | WordGPT