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Solve 7x + 13 = 6

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

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The lines y = 7x + 13 and y = 6 meet at x = -1-6-4-224-40-202040x = -1y = 7x + 13y = 6
The lines y = 7x + 13 and y = 6 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=67x + 13 = 6
  2. 2

    Subtract 13 from both sides:

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

Trying values of x in 7x + 13 = 6

x7x + 13Equals 6?
-3-8no
-2-1no
-16yes
013no
120no

Questions

What is x in 7x + 13 = 6?

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

How do you solve 7x + 13 = 6?

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 = 6, which is 6.

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