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Solve 4x + 14 = 38

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

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The lines y = 4x + 14 and y = 38 meet at x = 624681012102030405060x = 6y = 4x + 14y = 38
The lines y = 4x + 14 and y = 38 meet at x = 6. 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.

    4x+14=384x + 14 = 38
  2. 2

    Subtract 14 from both sides:

    4x+14−14=38−14 ⇒ 4x=244x + 14 - 14 = 38 - 14 \ \Rightarrow\ 4x = 24
  3. 3

    Divide both sides by 4:

    4x4=244 ⇒ x=6\frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    4⋅6+14=24+14=38✓4\cdot6 + 14 = 24 + 14 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 14 = 38\ \Rightarrow\ x = 6 \]
\[ 4x + 14 = 38 \]
\[ 4x + 14 - 14 = 38 - 14 \ \Rightarrow\ 4x = 24 \]
\[ \frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6 \]
\[ 4\cdot6 + 14 = 24 + 14 = 38 \checkmark \]

Trying values of x in 4x + 14 = 38

x4x + 14Equals 38?
430no
534no
638yes
742no
846no

Questions

What is x in 4x + 14 = 38?

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

How do you solve 4x + 14 = 38?

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

How do I check the answer?

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

Similar equations

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