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Solve 6x + 14 = 38

The solution of 6x + 14 = 38 is x = 4.

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The lines y = 6x + 14 and y = 38 meet at x = 4-22468101020304050607080x = 4y = 6x + 14y = 38
The lines y = 6x + 14 and y = 38 meet at x = 4. 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=386x + 14 = 38
  2. 2

    Subtract 14 from both sides:

    6x+14−14=38−14 ⇒ 6x=246x + 14 - 14 = 38 - 14 \ \Rightarrow\ 6x = 24
  3. 3

    Divide both sides by 6:

    6x6=246 ⇒ x=4\frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    6⋅4+14=24+14=38✓6\cdot4 + 14 = 24 + 14 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 38\ \Rightarrow\ x = 4 \]
\[ 6x + 14 = 38 \]
\[ 6x + 14 - 14 = 38 - 14 \ \Rightarrow\ 6x = 24 \]
\[ \frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4 \]
\[ 6\cdot4 + 14 = 24 + 14 = 38 \checkmark \]

Trying values of x in 6x + 14 = 38

x6x + 14Equals 38?
226no
332no
438yes
544no
650no

Questions

What is x in 6x + 14 = 38?

The solution of 6x + 14 = 38 is x = 4.

How do you solve 6x + 14 = 38?

Subtract 14 from both sides to get 6x = 24, then divide both sides by 6 to get x = 4.

How do I check the answer?

Replace x by 4: 6(4) + 14 = 38, which is 38.

Similar equations

    Solve 6x + 14 = 38: x = 4 (steps and check) | WordGPT