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Solve 9x + 2 = 182

The solution of 9x + 2 = 182 is x = 20.

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The lines y = 9x + 2 and y = 182 meet at x = 2014161820222426120140160180200220240x = 20y = 9x + 2y = 182
The lines y = 9x + 2 and y = 182 meet at x = 20. 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+2=1829x + 2 = 182
  2. 2

    Subtract 2 from both sides:

    9x+2−2=182−2 ⇒ 9x=1809x + 2 - 2 = 182 - 2 \ \Rightarrow\ 9x = 180
  3. 3

    Divide both sides by 9:

    9x9=1809 ⇒ x=20\frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    9⋅20+2=180+2=182✓9\cdot20 + 2 = 180 + 2 = 182 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 2 = 182\ \Rightarrow\ x = 20 \]
\[ 9x + 2 = 182 \]
\[ 9x + 2 - 2 = 182 - 2 \ \Rightarrow\ 9x = 180 \]
\[ \frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20 \]
\[ 9\cdot20 + 2 = 180 + 2 = 182 \checkmark \]

Trying values of x in 9x + 2 = 182

x9x + 2Equals 182?
18164no
19173no
20182yes
21191no
22200no

Questions

What is x in 9x + 2 = 182?

The solution of 9x + 2 = 182 is x = 20.

How do you solve 9x + 2 = 182?

Subtract 2 from both sides to get 9x = 180, then divide both sides by 9 to get x = 20.

How do I check the answer?

Replace x by 20: 9(20) + 2 = 182, which is 182.

Similar equations

    Solve 9x + 2 = 182: x = 20 (steps and check) | WordGPT