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Solve 2x + 11 = 7

The solution of 2x + 11 = 7 is x = -2.

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The lines y = 2x + 11 and y = 7 meet at x = -2-8-6-4-224-55101520x = -2y = 2x + 11y = 7
The lines y = 2x + 11 and y = 7 meet at x = -2. 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+11=72x + 11 = 7
  2. 2

    Subtract 11 from both sides:

    2x+11−11=7−11 ⇒ 2x=−42x + 11 - 11 = 7 - 11 \ \Rightarrow\ 2x = -4
  3. 3

    Divide both sides by 2:

    2x2=−42 ⇒ x=−2\frac{2x}{2} = \frac{-4}{2} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    2⋅(−2)+11=−4+11=7✓2\cdot(-2) + 11 = -4 + 11 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 7\ \Rightarrow\ x = -2 \]
\[ 2x + 11 = 7 \]
\[ 2x + 11 - 11 = 7 - 11 \ \Rightarrow\ 2x = -4 \]
\[ \frac{2x}{2} = \frac{-4}{2} \ \Rightarrow\ x = -2 \]
\[ 2\cdot(-2) + 11 = -4 + 11 = 7 \checkmark \]

Trying values of x in 2x + 11 = 7

x2x + 11Equals 7?
-43no
-35no
-27yes
-19no
011no

Questions

What is x in 2x + 11 = 7?

The solution of 2x + 11 = 7 is x = -2.

How do you solve 2x + 11 = 7?

Subtract 11 from both sides to get 2x = -4, then divide both sides by 2 to get x = -2.

How do I check the answer?

Replace x by -2: 2(-2) + 11 = 7, which is 7.

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    Solve 2x + 11 = 7: x = -2 (steps and check) | WordGPT