3(2x+2)=3x-15
mutiply the bracket by 3
(3)(2x)(3)(2)= 6x+6
6x+6= 3x-15
move 3x to the other side
sign changes from +3x to -3x
6x-3x+6= 3x-3x-15
6x-3x+6= -15
3x+6= -15
move +6 to the other side
sign changes from +6 to -6
3x+6-6= -15-6
3x= -21
divide by 3 for both sides
3x/3= -21/3
x= -7
Answer: x= -7
-5x=-35
divide both sides by -5
-5x/-5 = -35/-5
simplify
x = 7
A cheap way to go about it is, use the LCD and multiply both sides by it.
now, notice the denominators, x, 4, 4x, clearly the LCD is 4x, so let's multiply both sides by that, to do away with the denominators,
-4x - 7 +10x = -7 + 6x
Combine like terms on left side.
6x - 7 = -7 + 6x
Add 7 to both sides.
6x = 6x
Subtract 6x from both sides.
0 = 0
This means there are infinitely many solutions.
Answer:
D is your answer
Step-by-step explanation: