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Solve 5x + 7 = 22

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

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The lines y = 5x + 7 and y = 22 meet at x = 3-22468-101020304050x = 3y = 5x + 7y = 22
The lines y = 5x + 7 and y = 22 meet at x = 3. 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+7=225x + 7 = 22
  2. 2

    Subtract 7 from both sides:

    5x+7−7=22−7 ⇒ 5x=155x + 7 - 7 = 22 - 7 \ \Rightarrow\ 5x = 15
  3. 3

    Divide both sides by 5:

    5x5=155 ⇒ x=3\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    5⋅3+7=15+7=22✓5\cdot3 + 7 = 15 + 7 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 7 = 22\ \Rightarrow\ x = 3 \]
\[ 5x + 7 = 22 \]
\[ 5x + 7 - 7 = 22 - 7 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 + 7 = 15 + 7 = 22 \checkmark \]

Trying values of x in 5x + 7 = 22

x5x + 7Equals 22?
112no
217no
322yes
427no
532no

Questions

What is x in 5x + 7 = 22?

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

How do you solve 5x + 7 = 22?

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

How do I check the answer?

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

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