Solve for x: 3(x + 1) = -2(x - 1) + 6.

Solution:

Given 3(x + 1) = -2(x - 1) + 6.

Using the distributive property, we get

3x + 3 = -2x + 2 + 6

Shift the variables to LHS and constants to RHS and then solve for x.

3x + 2x = 8 - 3

5x = 5

x = 1

Therefore, the solution is x = 1

Solve for x: 3(x + 1) = -2(x - 1) + 6.

Summary:

The solution for 3(x + 1) = -2(x - 1) + 6 is x = 1.