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Solve 3x + 7 = 1

The solution of 3x + 7 = 1 is x = -2.

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The lines y = 3x + 7 and y = 1 meet at x = -2-8-6-4-224-20-15-10-55101520x = -2y = 3x + 7y = 1
The lines y = 3x + 7 and y = 1 meet at x = -2. 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=13x + 7 = 1
  2. 2

    Subtract 7 from both sides:

    3x+7āˆ’7=1āˆ’7Ā ā‡’Ā 3x=āˆ’63x + 7 - 7 = 1 - 7 \ \Rightarrow\ 3x = -6
  3. 3

    Divide both sides by 3:

    3x3=āˆ’63Ā ā‡’Ā x=āˆ’2\frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    3ā‹…(āˆ’2)+7=āˆ’6+7=1āœ“3\cdot(-2) + 7 = -6 + 7 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 1\ \Rightarrow\ x = -2 \]
\[ 3x + 7 = 1 \]
\[ 3x + 7 - 7 = 1 - 7 \ \Rightarrow\ 3x = -6 \]
\[ \frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2 \]
\[ 3\cdot(-2) + 7 = -6 + 7 = 1 \checkmark \]

Trying values of x in 3x + 7 = 1

x3x + 7Equals 1?
-4-5no
-3-2no
-21yes
-14no
07no

Questions

What is x in 3x + 7 = 1?

The solution of 3x + 7 = 1 is x = -2.

How do you solve 3x + 7 = 1?

Subtract 7 from both sides to get 3x = -6, then divide both sides by 3 to get x = -2.

How do I check the answer?

Replace x by -2: 3(-2) + 7 = 1, which is 1.

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