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Solve 6x + 13 = 7

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

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The lines y = 6x + 13 and y = 7 meet at x = -1-6-4-224-30-20-101020304050x = -1y = 6x + 13y = 7
The lines y = 6x + 13 and y = 7 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.

    6x+13=76x + 13 = 7
  2. 2

    Subtract 13 from both sides:

    6x+13−13=7−13 ⇒ 6x=−66x + 13 - 13 = 7 - 13 \ \Rightarrow\ 6x = -6
  3. 3

    Divide both sides by 6:

    6x6=−66 ⇒ x=−1\frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

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

Trying values of x in 6x + 13 = 7

x6x + 13Equals 7?
-3-5no
-21no
-17yes
013no
119no

Questions

What is x in 6x + 13 = 7?

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

How do you solve 6x + 13 = 7?

Subtract 13 from both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) + 13 = 7, which is 7.

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