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Solve 7x + 15 = 1

The solution of 7x + 15 = 1 is x = -2.

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The lines y = 7x + 15 and y = 1 meet at x = -2-8-6-4-224-40-202040x = -2y = 7x + 15y = 1
The lines y = 7x + 15 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.

    7x+15=17x + 15 = 1
  2. 2

    Subtract 15 from both sides:

    7x+15āˆ’15=1āˆ’15Ā ā‡’Ā 7x=āˆ’147x + 15 - 15 = 1 - 15 \ \Rightarrow\ 7x = -14
  3. 3

    Divide both sides by 7:

    7x7=āˆ’147Ā ā‡’Ā x=āˆ’2\frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2
  4. 4

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

    7ā‹…(āˆ’2)+15=āˆ’14+15=1āœ“7\cdot(-2) + 15 = -14 + 15 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 15 = 1\ \Rightarrow\ x = -2 \]
\[ 7x + 15 = 1 \]
\[ 7x + 15 - 15 = 1 - 15 \ \Rightarrow\ 7x = -14 \]
\[ \frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2 \]
\[ 7\cdot(-2) + 15 = -14 + 15 = 1 \checkmark \]

Trying values of x in 7x + 15 = 1

x7x + 15Equals 1?
-4-13no
-3-6no
-21yes
-18no
015no

Questions

What is x in 7x + 15 = 1?

The solution of 7x + 15 = 1 is x = -2.

How do you solve 7x + 15 = 1?

Subtract 15 from both sides to get 7x = -14, then divide both sides by 7 to get x = -2.

How do I check the answer?

Replace x by -2: 7(-2) + 15 = 1, which is 1.

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