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Solve 10x + 3 = 13

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

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The lines y = 10x + 3 and y = 13 meet at x = 1-4-2246-40-2020406080x = 1y = 10x + 3y = 13
The lines y = 10x + 3 and y = 13 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+3=1310x + 3 = 13
  2. 2

    Subtract 3 from both sides:

    10x+3−3=13−3 ⇒ 10x=1010x + 3 - 3 = 13 - 3 \ \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+3=10+3=13✓10\cdot1 + 3 = 10 + 3 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 3 = 13\ \Rightarrow\ x = 1 \]
\[ 10x + 3 = 13 \]
\[ 10x + 3 - 3 = 13 - 3 \ \Rightarrow\ 10x = 10 \]
\[ \frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1 \]
\[ 10\cdot1 + 3 = 10 + 3 = 13 \checkmark \]

Trying values of x in 10x + 3 = 13

x10x + 3Equals 13?
-1-7no
03no
113yes
223no
333no

Questions

What is x in 10x + 3 = 13?

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

How do you solve 10x + 3 = 13?

Subtract 3 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) + 3 = 13, which is 13.

Similar equations

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