If the sum of -4 and the opposite of a number is multiplied by -3, the result is 6 less than the product of the number and 2. What is the number?
Please show your work. I need the formula more than I need the answer.
-3(-4+x)=2x-6
Distribute
12-3x=2x-6
Add 3x to both sides.
12=5x-6
Add 6 to both sides.
18=5x
Divide by 5 on both sides.
x=3.6
-3(-4+x)=2x-6
Distribute
12-3x=2x-6
Add 3x to both sides.
12=5x-6
Add 6 to both sides.
18=5x
Divide by 5 on both sides.
x=3.6
Let the number = N and its opposite = -N ......so we have
-3 [ -4 + -N ] + 6 = 2N simplify
12 + 3N + 6 = 2N
18 + 3N = 2N subtract 3N from both sides
18 = -N so....this is the opposite...and the number must be - 18
Check
-3 [ -4 + 18] + 6 = 2(-18) ????
-3 [ 14] + 6 = -36 ?????
-42 + 6 = -36 ????
-36 = -36