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Solve 4x + 13 = 5

The solution of 4x + 13 = 5 is x = -2.

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The lines y = 4x + 13 and y = 5 meet at x = -2-8-6-4-224-20-10102030x = -2y = 4x + 13y = 5
The lines y = 4x + 13 and y = 5 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.

    4x+13=54x + 13 = 5
  2. 2

    Subtract 13 from both sides:

    4x+13−13=5−13 ⇒ 4x=−84x + 13 - 13 = 5 - 13 \ \Rightarrow\ 4x = -8
  3. 3

    Divide both sides by 4:

    4x4=−84 ⇒ x=−2\frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2
  4. 4

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

    4⋅(−2)+13=−8+13=5✓4\cdot(-2) + 13 = -8 + 13 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 5\ \Rightarrow\ x = -2 \]
\[ 4x + 13 = 5 \]
\[ 4x + 13 - 13 = 5 - 13 \ \Rightarrow\ 4x = -8 \]
\[ \frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2 \]
\[ 4\cdot(-2) + 13 = -8 + 13 = 5 \checkmark \]

Trying values of x in 4x + 13 = 5

x4x + 13Equals 5?
-4-3no
-31no
-25yes
-19no
013no

Questions

What is x in 4x + 13 = 5?

The solution of 4x + 13 = 5 is x = -2.

How do you solve 4x + 13 = 5?

Subtract 13 from both sides to get 4x = -8, then divide both sides by 4 to get x = -2.

How do I check the answer?

Replace x by -2: 4(-2) + 13 = 5, which is 5.

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    Solve 4x + 13 = 5: x = -2 (steps and check) | WordGPT