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Solve 5x + 3 = 13

The solution of 5x + 3 = 13 is x = 2.

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The lines y = 5x + 3 and y = 13 meet at x = 2-4-22468-20-1010203040x = 2y = 5x + 3y = 13
The lines y = 5x + 3 and y = 13 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.

    5x+3=135x + 3 = 13
  2. 2

    Subtract 3 from both sides:

    5x+3−3=13−3 ⇒ 5x=105x + 3 - 3 = 13 - 3 \ \Rightarrow\ 5x = 10
  3. 3

    Divide both sides by 5:

    5x5=105 ⇒ x=2\frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    5⋅2+3=10+3=13✓5\cdot2 + 3 = 10 + 3 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 3 = 13\ \Rightarrow\ x = 2 \]
\[ 5x + 3 = 13 \]
\[ 5x + 3 - 3 = 13 - 3 \ \Rightarrow\ 5x = 10 \]
\[ \frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2 \]
\[ 5\cdot2 + 3 = 10 + 3 = 13 \checkmark \]

Trying values of x in 5x + 3 = 13

x5x + 3Equals 13?
03no
18no
213yes
318no
423no

Questions

What is x in 5x + 3 = 13?

The solution of 5x + 3 = 13 is x = 2.

How do you solve 5x + 3 = 13?

Subtract 3 from both sides to get 5x = 10, then divide both sides by 5 to get x = 2.

How do I check the answer?

Replace x by 2: 5(2) + 3 = 13, which is 13.

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    Solve 5x + 3 = 13: x = 2 (steps and check) | WordGPT