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Solve 8x + 14 = 38

The solution of 8x + 14 = 38 is x = 3.

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The lines y = 8x + 14 and y = 38 meet at x = 3-2246820406080x = 3y = 8x + 14y = 38
The lines y = 8x + 14 and y = 38 meet at x = 3. 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.

    8x+14=388x + 14 = 38
  2. 2

    Subtract 14 from both sides:

    8x+14−14=38−14 ⇒ 8x=248x + 14 - 14 = 38 - 14 \ \Rightarrow\ 8x = 24
  3. 3

    Divide both sides by 8:

    8x8=248 ⇒ x=3\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    8⋅3+14=24+14=38✓8\cdot3 + 14 = 24 + 14 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 38\ \Rightarrow\ x = 3 \]
\[ 8x + 14 = 38 \]
\[ 8x + 14 - 14 = 38 - 14 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 + 14 = 24 + 14 = 38 \checkmark \]

Trying values of x in 8x + 14 = 38

x8x + 14Equals 38?
122no
230no
338yes
446no
554no

Questions

What is x in 8x + 14 = 38?

The solution of 8x + 14 = 38 is x = 3.

How do you solve 8x + 14 = 38?

Subtract 14 from both sides to get 8x = 24, then divide both sides by 8 to get x = 3.

How do I check the answer?

Replace x by 3: 8(3) + 14 = 38, which is 38.

Similar equations

    Solve 8x + 14 = 38: x = 3 (steps and check) | WordGPT