Three times the sum of a number and -5 equals -6 times the sum of the number and -2. find the number.

3(x-5)=-6(x-2)

3x-15=-6x+12

9x-15=12

9x=27

x=3

"Three times the sum of a number and -5" - let the number be x.

"times" indicates multiplication, and "sum" indicates addition. Ignore the "times" part first; that leaves you with "the sum of a number and -5," which is x + (-5) or x - 5. Now include the multiplication bit, and you get 3(x - 5). This will be equal to "-6 times the sum of the number and -2." Similarly, the sum of the two numbers will be multiplied by the first number, -6. You get -6(x - 2). Now you have:

3(x - 5) = -6(x - 2)

Solve. Apply the Distributive Property: a(b + c) = ab + ac.

3(x - 5) = -6(x - 2)

3x - 15 = -6x + 12

Add 15 to both sides to get rid of the constant on the left side of the equation.

3x - 15 = -6x + 12

3x - 15 + 15 = -6x + 12 + 15

3x = -6x + 27

Add 6x to both sides to get rid of the variable term on the right side of the equation.

3x = -6x + 27

3x + 6x = -6x + 27 + 6x

9x = 27

Divide both sides by 9 to isolate x.

9x = 27

9x/9 = 27/9

x = 3

The number is 3.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35