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Solve 4x + 10 = 38

The solution of 4x + 10 = 38 is x = 7.

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The lines y = 4x + 10 and y = 38 meet at x = 724681012102030405060x = 7y = 4x + 10y = 38
The lines y = 4x + 10 and y = 38 meet at x = 7. 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+10=384x + 10 = 38
  2. 2

    Subtract 10 from both sides:

    4x+10−10=38−10 ⇒ 4x=284x + 10 - 10 = 38 - 10 \ \Rightarrow\ 4x = 28
  3. 3

    Divide both sides by 4:

    4x4=284 ⇒ x=7\frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    4⋅7+10=28+10=38✓4\cdot7 + 10 = 28 + 10 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 10 = 38\ \Rightarrow\ x = 7 \]
\[ 4x + 10 = 38 \]
\[ 4x + 10 - 10 = 38 - 10 \ \Rightarrow\ 4x = 28 \]
\[ \frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7 \]
\[ 4\cdot7 + 10 = 28 + 10 = 38 \checkmark \]

Trying values of x in 4x + 10 = 38

x4x + 10Equals 38?
530no
634no
738yes
842no
946no

Questions

What is x in 4x + 10 = 38?

The solution of 4x + 10 = 38 is x = 7.

How do you solve 4x + 10 = 38?

Subtract 10 from both sides to get 4x = 28, then divide both sides by 4 to get x = 7.

How do I check the answer?

Replace x by 7: 4(7) + 10 = 38, which is 38.

Similar equations

    Solve 4x + 10 = 38: x = 7 (steps and check) | WordGPT