-3(5 + -1d) = 2d + 10

Question

help plase

Answer 1

-3(5 + -1d) = 2d + 10

 

simplify the expression inside the parentheses

-3(5 - d) = 2d + 10

 

now remove the parentheses

-15 + 3d = 2d + 10

 

add 15 to both sides of the equation

3d = 2d + 25

 

subtract 2d from both sides of the equation

d = 25

 

To double check, substitute 25 for d in the original equation:

-3(5 + -1(25)) = 2(25) + 10

-3(5 - 25) = 2(25) + 10

-3(-20) = 2(25) + 10

60 = 50 + 10

 

Answer 2

First, distribute -3 to everything in the parentheses: -3(5 + -1d) = -15 + 3d.

You are left with -15 + 3d = 2d + 10.

Next, move like terms to the same side of the equation. You are left with d = 25.

 

Substitute d = 25 to double check the answer. -3(5 + -1(25)) = 2(25) + 10. Solve everything in parentheses on the left and do the multiplication on the right to get -3(-20) = 50 + 10. This leaves 60 = 60.

 

Answer 3

Hi Sdgaeth;

-3(5 + -1d) = 2d + 10

Let's distribute...

A negative number multiplied by a negative number is a positive result. Henceforth, (-3)(-1d)=3d...

-15+3d=2d+10

Let's isolate d...

Let's subtract 2d from both sides...

-2d-15+3d=2d+10-2d

-15+d=10

Let's add 15 to both sides...

15-15+d=10+15

d=25

 

Let's check our results...

-3(5 + -1d) = 2d + 10

-3[(5+(-1)(25)]=[(2)(25)]+10

A negative number multiplied by a positive number is a negative result.  Henceforth, (-1)(25)=-25

-3(5-25)=50+10

-3(-20)=60

60=60