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Solve 7x + 13 = 20

The solution of 7x + 13 = 20 is x = 1.

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The lines y = 7x + 13 and y = 20 meet at x = 1-4-2246-20204060x = 1y = 7x + 13y = 20
The lines y = 7x + 13 and y = 20 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.

    7x+13=207x + 13 = 20
  2. 2

    Subtract 13 from both sides:

    7x+13−13=20−13 ⇒ 7x=77x + 13 - 13 = 20 - 13 \ \Rightarrow\ 7x = 7
  3. 3

    Divide both sides by 7:

    7x7=77 ⇒ x=1\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    7⋅1+13=7+13=20✓7\cdot1 + 13 = 7 + 13 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 20\ \Rightarrow\ x = 1 \]
\[ 7x + 13 = 20 \]
\[ 7x + 13 - 13 = 20 - 13 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 13 = 7 + 13 = 20 \checkmark \]

Trying values of x in 7x + 13 = 20

x7x + 13Equals 20?
-16no
013no
120yes
227no
334no

Questions

What is x in 7x + 13 = 20?

The solution of 7x + 13 = 20 is x = 1.

How do you solve 7x + 13 = 20?

Subtract 13 from both sides to get 7x = 7, then divide both sides by 7 to get x = 1.

How do I check the answer?

Replace x by 1: 7(1) + 13 = 20, which is 20.

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    Solve 7x + 13 = 20: x = 1 (steps and check) | WordGPT