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Solve 2x + 13 = 7

The solution of 2x + 13 = 7 is x = -3.

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The lines y = 2x + 13 and y = 7 meet at x = -3-8-6-4-22-55101520x = -3y = 2x + 13y = 7
The lines y = 2x + 13 and y = 7 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.

    2x+13=72x + 13 = 7
  2. 2

    Subtract 13 from both sides:

    2x+13−13=7−13 ⇒ 2x=−62x + 13 - 13 = 7 - 13 \ \Rightarrow\ 2x = -6
  3. 3

    Divide both sides by 2:

    2x2=−62 ⇒ x=−3\frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

    2⋅(−3)+13=−6+13=7✓2\cdot(-3) + 13 = -6 + 13 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 7\ \Rightarrow\ x = -3 \]
\[ 2x + 13 = 7 \]
\[ 2x + 13 - 13 = 7 - 13 \ \Rightarrow\ 2x = -6 \]
\[ \frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3 \]
\[ 2\cdot(-3) + 13 = -6 + 13 = 7 \checkmark \]

Trying values of x in 2x + 13 = 7

x2x + 13Equals 7?
-53no
-45no
-37yes
-29no
-111no

Questions

What is x in 2x + 13 = 7?

The solution of 2x + 13 = 7 is x = -3.

How do you solve 2x + 13 = 7?

Subtract 13 from both sides to get 2x = -6, then divide both sides by 2 to get x = -3.

How do I check the answer?

Replace x by -3: 2(-3) + 13 = 7, which is 7.

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    Solve 2x + 13 = 7: x = -3 (steps and check) | WordGPT