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Solve 8x + 6 = 22

The solution of 8x + 6 = 22 is x = 2.

The lines y = 8x + 6 and y = 22 meet at x = 2-4-22468-2020406080x = 2y = 8x + 6y = 22
The lines y = 8x + 6 and y = 22 meet at x = 2. 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=228x + 6 = 22
  2. 2

    Subtract 6 from both sides:

    8x+6−6=22−6 ⇒ 8x=168x + 6 - 6 = 22 - 6 \ \Rightarrow\ 8x = 16
  3. 3

    Divide both sides by 8:

    8x8=168 ⇒ x=2\frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    8⋅2+6=16+6=22✓8\cdot2 + 6 = 16 + 6 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 6 = 22\ \Rightarrow\ x = 2 \]
\[ 8x + 6 = 22 \]
\[ 8x + 6 - 6 = 22 - 6 \ \Rightarrow\ 8x = 16 \]
\[ \frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2 \]
\[ 8\cdot2 + 6 = 16 + 6 = 22 \checkmark \]

Trying values of x in 8x + 6 = 22

x8x + 6Equals 22?
06no
114no
222yes
330no
438no

Questions

What is x in 8x + 6 = 22?

The solution of 8x + 6 = 22 is x = 2.

How do you solve 8x + 6 = 22?

Subtract 6 from both sides to get 8x = 16, then divide both sides by 8 to get x = 2.

How do I check the answer?

Replace x by 2: 8(2) + 6 = 22, which is 22.

Similar equations

    Solve 8x + 6 = 22: x = 2 (steps and check) | WordGPT