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Solve 3x + 13 = 4

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

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The lines y = 3x + 13 and y = 4 meet at x = -3-8-6-4-22-15-10-5510152025x = -3y = 3x + 13y = 4
The lines y = 3x + 13 and y = 4 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.

    3x+13=43x + 13 = 4
  2. 2

    Subtract 13 from both sides:

    3x+13−13=4−13 ⇒ 3x=−93x + 13 - 13 = 4 - 13 \ \Rightarrow\ 3x = -9
  3. 3

    Divide both sides by 3:

    3x3=−93 ⇒ x=−3\frac{3x}{3} = \frac{-9}{3} \ \Rightarrow\ x = -3
  4. 4

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

    3⋅(−3)+13=−9+13=4✓3\cdot(-3) + 13 = -9 + 13 = 4 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 4\ \Rightarrow\ x = -3 \]
\[ 3x + 13 = 4 \]
\[ 3x + 13 - 13 = 4 - 13 \ \Rightarrow\ 3x = -9 \]
\[ \frac{3x}{3} = \frac{-9}{3} \ \Rightarrow\ x = -3 \]
\[ 3\cdot(-3) + 13 = -9 + 13 = 4 \checkmark \]

Trying values of x in 3x + 13 = 4

x3x + 13Equals 4?
-5-2no
-41no
-34yes
-27no
-110no

Questions

What is x in 3x + 13 = 4?

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

How do you solve 3x + 13 = 4?

Subtract 13 from both sides to get 3x = -9, then divide both sides by 3 to get x = -3.

How do I check the answer?

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

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    Solve 3x + 13 = 4: x = -3 (steps and check) | WordGPT