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Solve 2x + 14 = 38

The solution of 2x + 14 = 38 is x = 12.

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The lines y = 2x + 14 and y = 38 meet at x = 12681012141618253035404550x = 12y = 2x + 14y = 38
The lines y = 2x + 14 and y = 38 meet at x = 12. 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=382x + 14 = 38
  2. 2

    Subtract 14 from both sides:

    2x+14−14=38−14 ⇒ 2x=242x + 14 - 14 = 38 - 14 \ \Rightarrow\ 2x = 24
  3. 3

    Divide both sides by 2:

    2x2=242 ⇒ x=12\frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    2⋅12+14=24+14=38✓2\cdot12 + 14 = 24 + 14 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 38\ \Rightarrow\ x = 12 \]
\[ 2x + 14 = 38 \]
\[ 2x + 14 - 14 = 38 - 14 \ \Rightarrow\ 2x = 24 \]
\[ \frac{2x}{2} = \frac{24}{2} \ \Rightarrow\ x = 12 \]
\[ 2\cdot12 + 14 = 24 + 14 = 38 \checkmark \]

Trying values of x in 2x + 14 = 38

x2x + 14Equals 38?
1034no
1136no
1238yes
1340no
1442no

Questions

What is x in 2x + 14 = 38?

The solution of 2x + 14 = 38 is x = 12.

How do you solve 2x + 14 = 38?

Subtract 14 from both sides to get 2x = 24, then divide both sides by 2 to get x = 12.

How do I check the answer?

Replace x by 12: 2(12) + 14 = 38, which is 38.

Similar equations

    Solve 2x + 14 = 38: x = 12 (steps and check) | WordGPT