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Solve 10x + 13 = 3

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

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The lines y = 10x + 13 and y = 3 meet at x = -1-6-4-224-60-40-20204060x = -1y = 10x + 13y = 3
The lines y = 10x + 13 and y = 3 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.

    10x+13=310x + 13 = 3
  2. 2

    Subtract 13 from both sides:

    10x+13−13=3−13 ⇒ 10x=−1010x + 13 - 13 = 3 - 13 \ \Rightarrow\ 10x = -10
  3. 3

    Divide both sides by 10:

    10x10=−1010 ⇒ x=−1\frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1
  4. 4

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

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

Trying values of x in 10x + 13 = 3

x10x + 13Equals 3?
-3-17no
-2-7no
-13yes
013no
123no

Questions

What is x in 10x + 13 = 3?

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

How do you solve 10x + 13 = 3?

Subtract 13 from both sides to get 10x = -10, then divide both sides by 10 to get x = -1.

How do I check the answer?

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

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