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Solve 9x + 10 = 163

The solution of 9x + 10 = 163 is x = 17.

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The lines y = 9x + 10 and y = 163 meet at x = 17121416182022100120140160180200220x = 17y = 9x + 10y = 163
The lines y = 9x + 10 and y = 163 meet at x = 17. 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.

    9x+10=1639x + 10 = 163
  2. 2

    Subtract 10 from both sides:

    9x+10−10=163−10 ⇒ 9x=1539x + 10 - 10 = 163 - 10 \ \Rightarrow\ 9x = 153
  3. 3

    Divide both sides by 9:

    9x9=1539 ⇒ x=17\frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    9⋅17+10=153+10=163✓9\cdot17 + 10 = 153 + 10 = 163 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 10 = 163\ \Rightarrow\ x = 17 \]
\[ 9x + 10 = 163 \]
\[ 9x + 10 - 10 = 163 - 10 \ \Rightarrow\ 9x = 153 \]
\[ \frac{9x}{9} = \frac{153}{9} \ \Rightarrow\ x = 17 \]
\[ 9\cdot17 + 10 = 153 + 10 = 163 \checkmark \]

Trying values of x in 9x + 10 = 163

x9x + 10Equals 163?
15145no
16154no
17163yes
18172no
19181no

Questions

What is x in 9x + 10 = 163?

The solution of 9x + 10 = 163 is x = 17.

How do you solve 9x + 10 = 163?

Subtract 10 from both sides to get 9x = 153, then divide both sides by 9 to get x = 17.

How do I check the answer?

Replace x by 17: 9(17) + 10 = 163, which is 163.

Similar equations

    Solve 9x + 10 = 163: x = 17 (steps and check) | WordGPT