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Solve 3x + 14 = 38

The solution of 3x + 14 = 38 is x = 8.

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The lines y = 3x + 14 and y = 38 meet at x = 824681012142025303540455055x = 8y = 3x + 14y = 38
The lines y = 3x + 14 and y = 38 meet at x = 8. 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.

    3x+14=383x + 14 = 38
  2. 2

    Subtract 14 from both sides:

    3x+14−14=38−14 ⇒ 3x=243x + 14 - 14 = 38 - 14 \ \Rightarrow\ 3x = 24
  3. 3

    Divide both sides by 3:

    3x3=243 ⇒ x=8\frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    3⋅8+14=24+14=38✓3\cdot8 + 14 = 24 + 14 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 14 = 38\ \Rightarrow\ x = 8 \]
\[ 3x + 14 = 38 \]
\[ 3x + 14 - 14 = 38 - 14 \ \Rightarrow\ 3x = 24 \]
\[ \frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8 \]
\[ 3\cdot8 + 14 = 24 + 14 = 38 \checkmark \]

Trying values of x in 3x + 14 = 38

x3x + 14Equals 38?
632no
735no
838yes
941no
1044no

Questions

What is x in 3x + 14 = 38?

The solution of 3x + 14 = 38 is x = 8.

How do you solve 3x + 14 = 38?

Subtract 14 from both sides to get 3x = 24, then divide both sides by 3 to get x = 8.

How do I check the answer?

Replace x by 8: 3(8) + 14 = 38, which is 38.

Similar equations

    Solve 3x + 14 = 38: x = 8 (steps and check) | WordGPT