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Solve 2x + 8 = 38

The solution of 2x + 8 = 38 is x = 15.

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The lines y = 2x + 8 and y = 38 meet at x = 15101214161820253035404550x = 15y = 2x + 8y = 38
The lines y = 2x + 8 and y = 38 meet at x = 15. 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+8=382x + 8 = 38
  2. 2

    Subtract 8 from both sides:

    2x+8−8=38−8 ⇒ 2x=302x + 8 - 8 = 38 - 8 \ \Rightarrow\ 2x = 30
  3. 3

    Divide both sides by 2:

    2x2=302 ⇒ x=15\frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    2⋅15+8=30+8=38✓2\cdot15 + 8 = 30 + 8 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 8 = 38\ \Rightarrow\ x = 15 \]
\[ 2x + 8 = 38 \]
\[ 2x + 8 - 8 = 38 - 8 \ \Rightarrow\ 2x = 30 \]
\[ \frac{2x}{2} = \frac{30}{2} \ \Rightarrow\ x = 15 \]
\[ 2\cdot15 + 8 = 30 + 8 = 38 \checkmark \]

Trying values of x in 2x + 8 = 38

x2x + 8Equals 38?
1334no
1436no
1538yes
1640no
1742no

Questions

What is x in 2x + 8 = 38?

The solution of 2x + 8 = 38 is x = 15.

How do you solve 2x + 8 = 38?

Subtract 8 from both sides to get 2x = 30, then divide both sides by 2 to get x = 15.

How do I check the answer?

Replace x by 15: 2(15) + 8 = 38, which is 38.

Similar equations

    Solve 2x + 8 = 38: x = 15 (steps and check) | WordGPT