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Solve 6x + 14 = 32

The solution of 6x + 14 = 32 is x = 3.

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The lines y = 6x + 14 and y = 32 meet at x = 3-22468-1010203040506070x = 3y = 6x + 14y = 32
The lines y = 6x + 14 and y = 32 meet at x = 3. 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.

    6x+14=326x + 14 = 32
  2. 2

    Subtract 14 from both sides:

    6x+14−14=32−14 ⇒ 6x=186x + 14 - 14 = 32 - 14 \ \Rightarrow\ 6x = 18
  3. 3

    Divide both sides by 6:

    6x6=186 ⇒ x=3\frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    6⋅3+14=18+14=32✓6\cdot3 + 14 = 18 + 14 = 32 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 32\ \Rightarrow\ x = 3 \]
\[ 6x + 14 = 32 \]
\[ 6x + 14 - 14 = 32 - 14 \ \Rightarrow\ 6x = 18 \]
\[ \frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3 \]
\[ 6\cdot3 + 14 = 18 + 14 = 32 \checkmark \]

Trying values of x in 6x + 14 = 32

x6x + 14Equals 32?
120no
226no
332yes
438no
544no

Questions

What is x in 6x + 14 = 32?

The solution of 6x + 14 = 32 is x = 3.

How do you solve 6x + 14 = 32?

Subtract 14 from both sides to get 6x = 18, then divide both sides by 6 to get x = 3.

How do I check the answer?

Replace x by 3: 6(3) + 14 = 32, which is 32.

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    Solve 6x + 14 = 32: x = 3 (steps and check) | WordGPT