4(2x + 3) = 2(3x - 4)
Keep in mind the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac
So, apply the distributive property to get:
4(2x) + 4(3) = 2(3x) - 2(4)
Simplifying that more, we get:
8x + 12 = 6x - 8
Subtract 6x on both sides
8x + 12 - 6x = 6x - 8 - 6x
8x - 6x + 12 = -8
2x + 12 = -8
Subtract 12 on both sides
2x + 12 - 12 = -8 - 12
2x = -8 - 12
2x = -20
Divide by 2 on both sides
2x/2 = -20/2
x = -20/2
x = -10
There is only one solution, so your answer is A. one solution.