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Solve 6x + 7 = 37

The solution of 6x + 7 = 37 is x = 5.

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The lines y = 6x + 7 and y = 37 meet at x = 52468101020304050607080x = 5y = 6x + 7y = 37
The lines y = 6x + 7 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.

    6x+7=376x + 7 = 37
  2. 2

    Subtract 7 from both sides:

    6x+7−7=37−7 ⇒ 6x=306x + 7 - 7 = 37 - 7 \ \Rightarrow\ 6x = 30
  3. 3

    Divide both sides by 6:

    6x6=306 ⇒ x=5\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    6⋅5+7=30+7=37✓6\cdot5 + 7 = 30 + 7 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 7 = 37\ \Rightarrow\ x = 5 \]
\[ 6x + 7 = 37 \]
\[ 6x + 7 - 7 = 37 - 7 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 + 7 = 30 + 7 = 37 \checkmark \]

Trying values of x in 6x + 7 = 37

x6x + 7Equals 37?
325no
431no
537yes
643no
749no

Questions

What is x in 6x + 7 = 37?

The solution of 6x + 7 = 37 is x = 5.

How do you solve 6x + 7 = 37?

Subtract 7 from both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) + 7 = 37, which is 37.

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    Solve 6x + 7 = 37: x = 5 (steps and check) | WordGPT