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Solve 3x + 7 = 22

The solution of 3x + 7 = 22 is x = 5.

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The lines y = 3x + 7 and y = 22 meet at x = 5246810510152025303540x = 5y = 3x + 7y = 22
The lines y = 3x + 7 and y = 22 meet at x = 5. 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.

    3x+7=223x + 7 = 22
  2. 2

    Subtract 7 from both sides:

    3x+7−7=22−7 ⇒ 3x=153x + 7 - 7 = 22 - 7 \ \Rightarrow\ 3x = 15
  3. 3

    Divide both sides by 3:

    3x3=153 ⇒ x=5\frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    3⋅5+7=15+7=22✓3\cdot5 + 7 = 15 + 7 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 22\ \Rightarrow\ x = 5 \]
\[ 3x + 7 = 22 \]
\[ 3x + 7 - 7 = 22 - 7 \ \Rightarrow\ 3x = 15 \]
\[ \frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5 \]
\[ 3\cdot5 + 7 = 15 + 7 = 22 \checkmark \]

Trying values of x in 3x + 7 = 22

x3x + 7Equals 22?
316no
419no
522yes
625no
728no

Questions

What is x in 3x + 7 = 22?

The solution of 3x + 7 = 22 is x = 5.

How do you solve 3x + 7 = 22?

Subtract 7 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.

How do I check the answer?

Replace x by 5: 3(5) + 7 = 22, which is 22.

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    Solve 3x + 7 = 22: x = 5 (steps and check) | WordGPT