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Solve 5x + 5 = 20

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

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The lines y = 5x + 5 and y = 20 meet at x = 3-22468-101020304050x = 3y = 5x + 5y = 20
The lines y = 5x + 5 and y = 20 meet at x = 3. 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+5=205x + 5 = 20
  2. 2

    Subtract 5 from both sides:

    5x+5−5=20−5 ⇒ 5x=155x + 5 - 5 = 20 - 5 \ \Rightarrow\ 5x = 15
  3. 3

    Divide both sides by 5:

    5x5=155 ⇒ x=3\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    5⋅3+5=15+5=20✓5\cdot3 + 5 = 15 + 5 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 5 = 20\ \Rightarrow\ x = 3 \]
\[ 5x + 5 = 20 \]
\[ 5x + 5 - 5 = 20 - 5 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 + 5 = 15 + 5 = 20 \checkmark \]

Trying values of x in 5x + 5 = 20

x5x + 5Equals 20?
110no
215no
320yes
425no
530no

Questions

What is x in 5x + 5 = 20?

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

How do you solve 5x + 5 = 20?

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

How do I check the answer?

Replace x by 3: 5(3) + 5 = 20, which is 20.

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