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Solve 5x + 2 = 37

The solution of 5x + 2 = 37 is x = 7.

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The lines y = 5x + 2 and y = 37 meet at x = 72468101210203040506070x = 7y = 5x + 2y = 37
The lines y = 5x + 2 and y = 37 meet at x = 7. 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=375x + 2 = 37
  2. 2

    Subtract 2 from both sides:

    5x+2−2=37−2 ⇒ 5x=355x + 2 - 2 = 37 - 2 \ \Rightarrow\ 5x = 35
  3. 3

    Divide both sides by 5:

    5x5=355 ⇒ x=7\frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    5⋅7+2=35+2=37✓5\cdot7 + 2 = 35 + 2 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 2 = 37\ \Rightarrow\ x = 7 \]
\[ 5x + 2 = 37 \]
\[ 5x + 2 - 2 = 37 - 2 \ \Rightarrow\ 5x = 35 \]
\[ \frac{5x}{5} = \frac{35}{5} \ \Rightarrow\ x = 7 \]
\[ 5\cdot7 + 2 = 35 + 2 = 37 \checkmark \]

Trying values of x in 5x + 2 = 37

x5x + 2Equals 37?
527no
632no
737yes
842no
947no

Questions

What is x in 5x + 2 = 37?

The solution of 5x + 2 = 37 is x = 7.

How do you solve 5x + 2 = 37?

Subtract 2 from both sides to get 5x = 35, then divide both sides by 5 to get x = 7.

How do I check the answer?

Replace x by 7: 5(7) + 2 = 37, which is 37.

Similar equations

    Solve 5x + 2 = 37: x = 7 (steps and check) | WordGPT