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Solve 7x + 2 = 37

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

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The lines y = 7x + 2 and y = 37 meet at x = 524681020406080x = 5y = 7x + 2y = 37
The lines y = 7x + 2 and y = 37 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.

    7x+2=377x + 2 = 37
  2. 2

    Subtract 2 from both sides:

    7x+2−2=37−2 ⇒ 7x=357x + 2 - 2 = 37 - 2 \ \Rightarrow\ 7x = 35
  3. 3

    Divide both sides by 7:

    7x7=357 ⇒ x=5\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    7⋅5+2=35+2=37✓7\cdot5 + 2 = 35 + 2 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 2 = 37\ \Rightarrow\ x = 5 \]
\[ 7x + 2 = 37 \]
\[ 7x + 2 - 2 = 37 - 2 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 + 2 = 35 + 2 = 37 \checkmark \]

Trying values of x in 7x + 2 = 37

x7x + 2Equals 37?
323no
430no
537yes
644no
751no

Questions

What is x in 7x + 2 = 37?

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

How do you solve 7x + 2 = 37?

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

How do I check the answer?

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

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