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Solve 8x + 6 = 38

The solution of 8x + 6 = 38 is x = 4.

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The lines y = 8x + 6 and y = 38 meet at x = 4-224681020406080x = 4y = 8x + 6y = 38
The lines y = 8x + 6 and y = 38 meet at x = 4. 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+6=388x + 6 = 38
  2. 2

    Subtract 6 from both sides:

    8x+6−6=38−6 ⇒ 8x=328x + 6 - 6 = 38 - 6 \ \Rightarrow\ 8x = 32
  3. 3

    Divide both sides by 8:

    8x8=328 ⇒ x=4\frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    8⋅4+6=32+6=38✓8\cdot4 + 6 = 32 + 6 = 38 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 6 = 38\ \Rightarrow\ x = 4 \]
\[ 8x + 6 = 38 \]
\[ 8x + 6 - 6 = 38 - 6 \ \Rightarrow\ 8x = 32 \]
\[ \frac{8x}{8} = \frac{32}{8} \ \Rightarrow\ x = 4 \]
\[ 8\cdot4 + 6 = 32 + 6 = 38 \checkmark \]

Trying values of x in 8x + 6 = 38

x8x + 6Equals 38?
222no
330no
438yes
546no
654no

Questions

What is x in 8x + 6 = 38?

The solution of 8x + 6 = 38 is x = 4.

How do you solve 8x + 6 = 38?

Subtract 6 from both sides to get 8x = 32, then divide both sides by 8 to get x = 4.

How do I check the answer?

Replace x by 4: 8(4) + 6 = 38, which is 38.

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    Solve 8x + 6 = 38: x = 4 (steps and check) | WordGPT