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Solve 3x + 5 = 20

The solution of 3x + 5 = 20 is x = 5.

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The lines y = 3x + 5 and y = 20 meet at x = 5246810510152025303540x = 5y = 3x + 5y = 20
The lines y = 3x + 5 and y = 20 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+5=203x + 5 = 20
  2. 2

    Subtract 5 from both sides:

    3x+5−5=20−5 ⇒ 3x=153x + 5 - 5 = 20 - 5 \ \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+5=15+5=20✓3\cdot5 + 5 = 15 + 5 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 5 = 20\ \Rightarrow\ x = 5 \]
\[ 3x + 5 = 20 \]
\[ 3x + 5 - 5 = 20 - 5 \ \Rightarrow\ 3x = 15 \]
\[ \frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5 \]
\[ 3\cdot5 + 5 = 15 + 5 = 20 \checkmark \]

Trying values of x in 3x + 5 = 20

x3x + 5Equals 20?
314no
417no
520yes
623no
726no

Questions

What is x in 3x + 5 = 20?

The solution of 3x + 5 = 20 is x = 5.

How do you solve 3x + 5 = 20?

Subtract 5 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) + 5 = 20, which is 20.

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