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Solve 4x + 13 = 1

The solution of 4x + 13 = 1 is x = -3.

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The lines y = 4x + 13 and y = 1 meet at x = -3-8-6-4-22-20-10102030x = -3y = 4x + 13y = 1
The lines y = 4x + 13 and y = 1 meet at x = -3. 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.

    4x+13=14x + 13 = 1
  2. 2

    Subtract 13 from both sides:

    4x+13āˆ’13=1āˆ’13Ā ā‡’Ā 4x=āˆ’124x + 13 - 13 = 1 - 13 \ \Rightarrow\ 4x = -12
  3. 3

    Divide both sides by 4:

    4x4=āˆ’124Ā ā‡’Ā x=āˆ’3\frac{4x}{4} = \frac{-12}{4} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

    4ā‹…(āˆ’3)+13=āˆ’12+13=1āœ“4\cdot(-3) + 13 = -12 + 13 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 1\ \Rightarrow\ x = -3 \]
\[ 4x + 13 = 1 \]
\[ 4x + 13 - 13 = 1 - 13 \ \Rightarrow\ 4x = -12 \]
\[ \frac{4x}{4} = \frac{-12}{4} \ \Rightarrow\ x = -3 \]
\[ 4\cdot(-3) + 13 = -12 + 13 = 1 \checkmark \]

Trying values of x in 4x + 13 = 1

x4x + 13Equals 1?
-5-7no
-4-3no
-31yes
-25no
-19no

Questions

What is x in 4x + 13 = 1?

The solution of 4x + 13 = 1 is x = -3.

How do you solve 4x + 13 = 1?

Subtract 13 from both sides to get 4x = -12, then divide both sides by 4 to get x = -3.

How do I check the answer?

Replace x by -3: 4(-3) + 13 = 1, which is 1.

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