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Solve 9x + 14 = 32

The solution of 9x + 14 = 32 is x = 2.

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The lines y = 9x + 14 and y = 32 meet at x = 2-4-22468-2020406080x = 2y = 9x + 14y = 32
The lines y = 9x + 14 and y = 32 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.

    9x+14=329x + 14 = 32
  2. 2

    Subtract 14 from both sides:

    9x+14−14=32−14 ⇒ 9x=189x + 14 - 14 = 32 - 14 \ \Rightarrow\ 9x = 18
  3. 3

    Divide both sides by 9:

    9x9=189 ⇒ x=2\frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    9⋅2+14=18+14=32✓9\cdot2 + 14 = 18 + 14 = 32 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 14 = 32\ \Rightarrow\ x = 2 \]
\[ 9x + 14 = 32 \]
\[ 9x + 14 - 14 = 32 - 14 \ \Rightarrow\ 9x = 18 \]
\[ \frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2 \]
\[ 9\cdot2 + 14 = 18 + 14 = 32 \checkmark \]

Trying values of x in 9x + 14 = 32

x9x + 14Equals 32?
014no
123no
232yes
341no
450no

Questions

What is x in 9x + 14 = 32?

The solution of 9x + 14 = 32 is x = 2.

How do you solve 9x + 14 = 32?

Subtract 14 from both sides to get 9x = 18, then divide both sides by 9 to get x = 2.

How do I check the answer?

Replace x by 2: 9(2) + 14 = 32, which is 32.

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    Solve 9x + 14 = 32: x = 2 (steps and check) | WordGPT