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Solve 3x + 13 = 10

The solution of 3x + 13 = 10 is x = -1.

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The lines y = 3x + 13 and y = 10 meet at x = -1-6-4-224-10-551015202530x = -1y = 3x + 13y = 10
The lines y = 3x + 13 and y = 10 meet at x = -1. 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=103x + 13 = 10
  2. 2

    Subtract 13 from both sides:

    3x+13−13=10−13 ⇒ 3x=−33x + 13 - 13 = 10 - 13 \ \Rightarrow\ 3x = -3
  3. 3

    Divide both sides by 3:

    3x3=−33 ⇒ x=−1\frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    3⋅(−1)+13=−3+13=10✓3\cdot(-1) + 13 = -3 + 13 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 10\ \Rightarrow\ x = -1 \]
\[ 3x + 13 = 10 \]
\[ 3x + 13 - 13 = 10 - 13 \ \Rightarrow\ 3x = -3 \]
\[ \frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1 \]
\[ 3\cdot(-1) + 13 = -3 + 13 = 10 \checkmark \]

Trying values of x in 3x + 13 = 10

x3x + 13Equals 10?
-34no
-27no
-110yes
013no
116no

Questions

What is x in 3x + 13 = 10?

The solution of 3x + 13 = 10 is x = -1.

How do you solve 3x + 13 = 10?

Subtract 13 from both sides to get 3x = -3, then divide both sides by 3 to get x = -1.

How do I check the answer?

Replace x by -1: 3(-1) + 13 = 10, which is 10.

Similar equations

    Solve 3x + 13 = 10: x = -1 (steps and check) | WordGPT