Explanation:
1.
4(3x + 2) = 4(2x + 3) + 4x do the multiplying
2.
12x + 8 = 8x + 12 + 4x export like terms to the same side of the equation and add/subtract like terms
3.
12x - 12x = 4
4.
0 = 4 this is not an equation so there's no solution to this one equation
1.
10(x + 4) - 3 = 14x + 1 do the multiplying
2.
10x + 40 - 3 = 14x + 1 export like terms to the same side of the equation and add/subtract like terms
3.
36 = 4x
9 = x there's one solution to this equation
1.
1/2 (10x + 15) - 3/2 = 2x + 6 + 3x do the multiplying
2.
(10x + 15)/2 - 3/2 = 5x + 6 export like terms to the same side of the equation and add/subtract like terms
3.
(10x + 12)/2 = 5x + 6 multiply both sides with 2 so we can get rid of fraction
10x + 12 = 10x + 12
0 = 0 there's infinetly many solutions to this equation meaning whatever number written instead of x there will a solution.