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Solve 2x + 14 = 32

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

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The lines y = 2x + 14 and y = 32 meet at x = 9468101214202530354045x = 9y = 2x + 14y = 32
The lines y = 2x + 14 and y = 32 meet at x = 9. 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.

    2x+14=322x + 14 = 32
  2. 2

    Subtract 14 from both sides:

    2x+14−14=32−14 ⇒ 2x=182x + 14 - 14 = 32 - 14 \ \Rightarrow\ 2x = 18
  3. 3

    Divide both sides by 2:

    2x2=182 ⇒ x=9\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    2⋅9+14=18+14=32✓2\cdot9 + 14 = 18 + 14 = 32 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 32\ \Rightarrow\ x = 9 \]
\[ 2x + 14 = 32 \]
\[ 2x + 14 - 14 = 32 - 14 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 + 14 = 18 + 14 = 32 \checkmark \]

Trying values of x in 2x + 14 = 32

x2x + 14Equals 32?
728no
830no
932yes
1034no
1136no

Questions

What is x in 2x + 14 = 32?

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

How do you solve 2x + 14 = 32?

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

How do I check the answer?

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

Similar equations

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