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Solve 5x + 2 = 22

The solution of 5x + 2 = 22 is x = 4.

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The lines y = 5x + 2 and y = 22 meet at x = 4-2246810-101020304050x = 4y = 5x + 2y = 22
The lines y = 5x + 2 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.

    5x+2=225x + 2 = 22
  2. 2

    Subtract 2 from both sides:

    5x+2−2=22−2 ⇒ 5x=205x + 2 - 2 = 22 - 2 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+2=20+2=22✓5\cdot4 + 2 = 20 + 2 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 2 = 22\ \Rightarrow\ x = 4 \]
\[ 5x + 2 = 22 \]
\[ 5x + 2 - 2 = 22 - 2 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 2 = 20 + 2 = 22 \checkmark \]

Trying values of x in 5x + 2 = 22

x5x + 2Equals 22?
212no
317no
422yes
527no
632no

Questions

What is x in 5x + 2 = 22?

The solution of 5x + 2 = 22 is x = 4.

How do you solve 5x + 2 = 22?

Subtract 2 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 2 = 22, which is 22.

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    Solve 5x + 2 = 22: x = 4 (steps and check) | WordGPT