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Solve 2x + 6 = 38

The solution of 2x + 6 = 38 is x = 16.

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The lines y = 2x + 6 and y = 38 meet at x = 1610121416182022253035404550x = 16y = 2x + 6y = 38
The lines y = 2x + 6 and y = 38 meet at x = 16. 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+6=382x + 6 = 38
  2. 2

    Subtract 6 from both sides:

    2x+6−6=38−6 ⇒ 2x=322x + 6 - 6 = 38 - 6 \ \Rightarrow\ 2x = 32
  3. 3

    Divide both sides by 2:

    2x2=322 ⇒ x=16\frac{2x}{2} = \frac{32}{2} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    2⋅16+6=32+6=38✓2\cdot16 + 6 = 32 + 6 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 38\ \Rightarrow\ x = 16 \]
\[ 2x + 6 = 38 \]
\[ 2x + 6 - 6 = 38 - 6 \ \Rightarrow\ 2x = 32 \]
\[ \frac{2x}{2} = \frac{32}{2} \ \Rightarrow\ x = 16 \]
\[ 2\cdot16 + 6 = 32 + 6 = 38 \checkmark \]

Trying values of x in 2x + 6 = 38

x2x + 6Equals 38?
1434no
1536no
1638yes
1740no
1842no

Questions

What is x in 2x + 6 = 38?

The solution of 2x + 6 = 38 is x = 16.

How do you solve 2x + 6 = 38?

Subtract 6 from both sides to get 2x = 32, then divide both sides by 2 to get x = 16.

How do I check the answer?

Replace x by 16: 2(16) + 6 = 38, which is 38.

Similar equations

    Solve 2x + 6 = 38: x = 16 (steps and check) | WordGPT