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Solve 3x + 13 = 28

The solution of 3x + 13 = 28 is x = 5.

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The lines y = 3x + 13 and y = 28 meet at x = 52468101015202530354045x = 5y = 3x + 13y = 28
The lines y = 3x + 13 and y = 28 meet at x = 5. 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=283x + 13 = 28
  2. 2

    Subtract 13 from both sides:

    3x+13−13=28−13 ⇒ 3x=153x + 13 - 13 = 28 - 13 \ \Rightarrow\ 3x = 15
  3. 3

    Divide both sides by 3:

    3x3=153 ⇒ x=5\frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    3⋅5+13=15+13=28✓3\cdot5 + 13 = 15 + 13 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 28\ \Rightarrow\ x = 5 \]
\[ 3x + 13 = 28 \]
\[ 3x + 13 - 13 = 28 - 13 \ \Rightarrow\ 3x = 15 \]
\[ \frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5 \]
\[ 3\cdot5 + 13 = 15 + 13 = 28 \checkmark \]

Trying values of x in 3x + 13 = 28

x3x + 13Equals 28?
322no
425no
528yes
631no
734no

Questions

What is x in 3x + 13 = 28?

The solution of 3x + 13 = 28 is x = 5.

How do you solve 3x + 13 = 28?

Subtract 13 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.

How do I check the answer?

Replace x by 5: 3(5) + 13 = 28, which is 28.

Similar equations

    Solve 3x + 13 = 28: x = 5 (steps and check) | WordGPT