Question

Andrea is solving the equation 4(x + 3/2)=7.

Answer 1

Andrea solves the equation by distributing, isolating the variable, and dividing. The solution is
`\(x = (1)/(4)\)`, which can be confirmed by substituting it back into the original equation.

To solve the equation
`\(4(x + (3)/(2)) = 7\)` for (x), Andrea can follow a systematic process. First, distribute the 4 on the left side of the equation to eliminate the parentheses:

`\[4x + 6 = 7.\]`

Next, isolate the variable term by subtracting 6 from both sides of the equation:

4x = 1.

Now, divide both sides by 4 to find the value of (x):

`\[x = (1)/(4).\]`

Therefore, the solution to the equation is
`\(x = (1)/(4)\)`. Andrea can verify this solution by substituting
`\((1)/(4)\)` back into the original equation and confirming that both sides are equal.