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Solve 3x + 8 = 38

The solution of 3x + 8 = 38 is x = 10.

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The lines y = 3x + 8 and y = 38 meet at x = 10468101214162025303540455055x = 10y = 3x + 8y = 38
The lines y = 3x + 8 and y = 38 meet at x = 10. 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.

    3x+8=383x + 8 = 38
  2. 2

    Subtract 8 from both sides:

    3x+8−8=38−8 ⇒ 3x=303x + 8 - 8 = 38 - 8 \ \Rightarrow\ 3x = 30
  3. 3

    Divide both sides by 3:

    3x3=303 ⇒ x=10\frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    3⋅10+8=30+8=38✓3\cdot10 + 8 = 30 + 8 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 8 = 38\ \Rightarrow\ x = 10 \]
\[ 3x + 8 = 38 \]
\[ 3x + 8 - 8 = 38 - 8 \ \Rightarrow\ 3x = 30 \]
\[ \frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10 \]
\[ 3\cdot10 + 8 = 30 + 8 = 38 \checkmark \]

Trying values of x in 3x + 8 = 38

x3x + 8Equals 38?
832no
935no
1038yes
1141no
1244no

Questions

What is x in 3x + 8 = 38?

The solution of 3x + 8 = 38 is x = 10.

How do you solve 3x + 8 = 38?

Subtract 8 from both sides to get 3x = 30, then divide both sides by 3 to get x = 10.

How do I check the answer?

Replace x by 10: 3(10) + 8 = 38, which is 38.

Similar equations

    Solve 3x + 8 = 38: x = 10 (steps and check) | WordGPT