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Solve 2x + 9 = 7

The solution of 2x + 9 = 7 is x = -1.

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The lines y = 2x + 9 and y = 7 meet at x = -1-6-4-224-55101520x = -1y = 2x + 9y = 7
The lines y = 2x + 9 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.

    2x+9=72x + 9 = 7
  2. 2

    Subtract 9 from both sides:

    2x+9−9=7−9 ⇒ 2x=−22x + 9 - 9 = 7 - 9 \ \Rightarrow\ 2x = -2
  3. 3

    Divide both sides by 2:

    2x2=−22 ⇒ x=−1\frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1
  4. 4

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

    2⋅(−1)+9=−2+9=7✓2\cdot(-1) + 9 = -2 + 9 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 9 = 7\ \Rightarrow\ x = -1 \]
\[ 2x + 9 = 7 \]
\[ 2x + 9 - 9 = 7 - 9 \ \Rightarrow\ 2x = -2 \]
\[ \frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1 \]
\[ 2\cdot(-1) + 9 = -2 + 9 = 7 \checkmark \]

Trying values of x in 2x + 9 = 7

x2x + 9Equals 7?
-33no
-25no
-17yes
09no
111no

Questions

What is x in 2x + 9 = 7?

The solution of 2x + 9 = 7 is x = -1.

How do you solve 2x + 9 = 7?

Subtract 9 from both sides to get 2x = -2, then divide both sides by 2 to get x = -1.

How do I check the answer?

Replace x by -1: 2(-1) + 9 = 7, which is 7.

Similar equations

    Solve 2x + 9 = 7: x = -1 (steps and check) | WordGPT