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Solve 7x + 6 = 13

The solution of 7x + 6 = 13 is x = 1.

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The lines y = 7x + 6 and y = 13 meet at x = 1-4-2246-20204060x = 1y = 7x + 6y = 13
The lines y = 7x + 6 and y = 13 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+6=137x + 6 = 13
  2. 2

    Subtract 6 from both sides:

    7x+6−6=13−6 ⇒ 7x=77x + 6 - 6 = 13 - 6 \ \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+6=7+6=13✓7\cdot1 + 6 = 7 + 6 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 6 = 13\ \Rightarrow\ x = 1 \]
\[ 7x + 6 = 13 \]
\[ 7x + 6 - 6 = 13 - 6 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 6 = 7 + 6 = 13 \checkmark \]

Trying values of x in 7x + 6 = 13

x7x + 6Equals 13?
-1-1no
06no
113yes
220no
327no

Questions

What is x in 7x + 6 = 13?

The solution of 7x + 6 = 13 is x = 1.

How do you solve 7x + 6 = 13?

Subtract 6 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) + 6 = 13, which is 13.

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    Solve 7x + 6 = 13: x = 1 (steps and check) | WordGPT