Given equation: 3(x + 1) = 2x + 7

Solution:

To solve the given equation, we will follow the steps below:

Step 1: Distribute the 3 on the left side of the equation by multiplying it with the terms inside the parentheses.
=> 3x + 3 = 2x + 7

Step 2: Combine like terms on both sides of the equation.
=> 3x - 2x = 7 - 3
=> x = 4

Therefore, the solution to the given equation is x = 4.

Explanation:

The given equation is an algebraic expression where we need to find the value of x that satisfies the equation. The equation contains variables, constants, and arithmetic operations.

To solve the equation, we need to isolate the variable x on one side of the equation. We can do this by following certain rules of algebra.

Step 1: Distribute the 3 on the left side of the equation by multiplying it with the terms inside the parentheses. This is done using the distributive property.
=> 3(x + 1) = 2x + 7
=> 3x + 3 = 2x + 7

Step 2: Combine like terms on both sides of the equation. This is done by adding or subtracting the coefficients of the same variable.
=> 3x - 2x = 7 - 3
=> x = 4

Therefore, the solution to the given equation is x = 4. This means that when we substitute x with 4 in the equation, it satisfies the equation and makes it true.

Summary:
The given equation 3(x + 1) = 2x + 7 is solved by distributing the 3 and combining like terms to isolate the variable x. The solution to the equation is x = 4, meaning that when we substitute x with 4 in the equation, it satisfies the equation and makes it true.

X=4