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Solve 2x + 3 = 11

The solution of 2x + 3 = 11 is x = 4.

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The lines y = 2x + 3 and y = 11 meet at x = 4-2246810510152025x = 4y = 2x + 3y = 11
The lines y = 2x + 3 and y = 11 meet at x = 4. 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+3=112x + 3 = 11
  2. 2

    Subtract 3 from both sides:

    2x+3−3=11−3 ⇒ 2x=82x + 3 - 3 = 11 - 3 \ \Rightarrow\ 2x = 8
  3. 3

    Divide both sides by 2:

    2x2=82 ⇒ x=4\frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    2⋅4+3=8+3=11✓2\cdot4 + 3 = 8 + 3 = 11 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 3 = 11\ \Rightarrow\ x = 4 \]
\[ 2x + 3 = 11 \]
\[ 2x + 3 - 3 = 11 - 3 \ \Rightarrow\ 2x = 8 \]
\[ \frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4 \]
\[ 2\cdot4 + 3 = 8 + 3 = 11 \checkmark \]

Trying values of x in 2x + 3 = 11

x2x + 3Equals 11?
27no
39no
411yes
513no
615no

Questions

What is x in 2x + 3 = 11?

The solution of 2x + 3 = 11 is x = 4.

How do you solve 2x + 3 = 11?

Subtract 3 from both sides to get 2x = 8, then divide both sides by 2 to get x = 4.

How do I check the answer?

Replace x by 4: 2(4) + 3 = 11, which is 11.

Similar equations

    Solve 2x + 3 = 11: x = 4 (steps and check) | WordGPT