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Solve 2x + 10 = 38

The solution of 2x + 10 = 38 is x = 14.

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The lines y = 2x + 10 and y = 38 meet at x = 148101214161820253035404550x = 14y = 2x + 10y = 38
The lines y = 2x + 10 and y = 38 meet at x = 14. 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+10=382x + 10 = 38
  2. 2

    Subtract 10 from both sides:

    2x+10−10=38−10 ⇒ 2x=282x + 10 - 10 = 38 - 10 \ \Rightarrow\ 2x = 28
  3. 3

    Divide both sides by 2:

    2x2=282 ⇒ x=14\frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    2⋅14+10=28+10=38✓2\cdot14 + 10 = 28 + 10 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 10 = 38\ \Rightarrow\ x = 14 \]
\[ 2x + 10 = 38 \]
\[ 2x + 10 - 10 = 38 - 10 \ \Rightarrow\ 2x = 28 \]
\[ \frac{2x}{2} = \frac{28}{2} \ \Rightarrow\ x = 14 \]
\[ 2\cdot14 + 10 = 28 + 10 = 38 \checkmark \]

Trying values of x in 2x + 10 = 38

x2x + 10Equals 38?
1234no
1336no
1438yes
1540no
1642no

Questions

What is x in 2x + 10 = 38?

The solution of 2x + 10 = 38 is x = 14.

How do you solve 2x + 10 = 38?

Subtract 10 from both sides to get 2x = 28, then divide both sides by 2 to get x = 14.

How do I check the answer?

Replace x by 14: 2(14) + 10 = 38, which is 38.

Similar equations

    Solve 2x + 10 = 38: x = 14 (steps and check) | WordGPT