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Solve 4x + 6 = 22

The solution of 4x + 6 = 22 is x = 4.

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The lines y = 4x + 6 and y = 22 meet at x = 4-22468101020304050x = 4y = 4x + 6y = 22
The lines y = 4x + 6 and y = 22 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.

    4x+6=224x + 6 = 22
  2. 2

    Subtract 6 from both sides:

    4x+6−6=22−6 ⇒ 4x=164x + 6 - 6 = 22 - 6 \ \Rightarrow\ 4x = 16
  3. 3

    Divide both sides by 4:

    4x4=164 ⇒ x=4\frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    4⋅4+6=16+6=22✓4\cdot4 + 6 = 16 + 6 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 22\ \Rightarrow\ x = 4 \]
\[ 4x + 6 = 22 \]
\[ 4x + 6 - 6 = 22 - 6 \ \Rightarrow\ 4x = 16 \]
\[ \frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4 \]
\[ 4\cdot4 + 6 = 16 + 6 = 22 \checkmark \]

Trying values of x in 4x + 6 = 22

x4x + 6Equals 22?
214no
318no
422yes
526no
630no

Questions

What is x in 4x + 6 = 22?

The solution of 4x + 6 = 22 is x = 4.

How do you solve 4x + 6 = 22?

Subtract 6 from both sides to get 4x = 16, then divide both sides by 4 to get x = 4.

How do I check the answer?

Replace x by 4: 4(4) + 6 = 22, which is 22.

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    Solve 4x + 6 = 22: x = 4 (steps and check) | WordGPT