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Solve 2x + 15 = 1

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

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The lines y = 2x + 15 and y = 1 meet at x = -7-12-10-8-6-4-2-10-551015x = -7y = 2x + 15y = 1
The lines y = 2x + 15 and y = 1 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.

    2x+15=12x + 15 = 1
  2. 2

    Subtract 15 from both sides:

    2x+15āˆ’15=1āˆ’15Ā ā‡’Ā 2x=āˆ’142x + 15 - 15 = 1 - 15 \ \Rightarrow\ 2x = -14
  3. 3

    Divide both sides by 2:

    2x2=āˆ’142Ā ā‡’Ā x=āˆ’7\frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7
  4. 4

    Check: put x = -7 back into the equation.

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

Trying values of x in 2x + 15 = 1

x2x + 15Equals 1?
-9-3no
-8-1no
-71yes
-63no
-55no

Questions

What is x in 2x + 15 = 1?

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

How do you solve 2x + 15 = 1?

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

How do I check the answer?

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

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