What is the solution to the equation 2x + 3 = 11?

To solve the equation (2x + 3 = 11), the goal is to isolate the variable (x). Start by eliminating the constant term on the left side. This can be achieved by subtracting 3 from both sides of the equation:

[

2x + 3 - 3 = 11 - 3

]

This simplifies to:

[

2x = 8

]

Next, to isolate (x), divide both sides by 2:

[

\frac{2x}{2} = \frac{8}{2}

]

This simplifies to:

[

x = 4

]

Thus, the solution to the equation is (x = 4). This value satisfies the original equation, confirming its correctness. When substituted back into the equation, it yields (2(4) + 3 = 8 + 3 = 11), which holds true.