Question

-17x+9(-14+4x)= -90+22x5x+2(-3-7x)=-86+x8x-14(-1+3x)=378-21x​

Answer 1

-17x-126+36x=-90+22x
19x-22x=126-90
-3x=36
x=-12

5x-6-14x=-86+x
-9x-x=6-86
-10x=-80
X=8

8x+14-42x=378-21x
8x+21x-42x= 378-14
-13x=36x=-28

Answer 2

To solve these equations, you can simplify and isolate the variable "x" in each equation. Let's solve them one by one:

1. -17x + 9(-14 + 4x) = -90 + 22x

First, distribute the 9 on the left side:

-17x - 126 + 36x = -90 + 22x

Combine like terms:

(-17x + 36x) - 126 = -90 + 22x

19x - 126 = -90 + 22x

Now, move the terms containing "x" to one side and constants to the other side:

19x - 22x = -90 + 126

-3x = 36

Divide both sides by -3:

x = -12

2. 5x + 2(-3 - 7x) = -86 + x

First, distribute the 2 on the left side:

5x - 6 - 14x = -86 + x

Combine like terms:

(5x - 14x) - 6 = -86 + x

-9x - 6 = -86 + x

Now, move the terms containing "x" to one side and constants to the other side:

-9x - x = -86 + 6

-10x = -80

Divide both sides by -10:

x = 8

3. 8x - 14(-1 + 3x) = 378 - 21x

First, distribute the -14 on the left side:

8x + 14 - 42x = 378 - 21x

Combine like terms:

(8x - 42x) + 14 = 378 - 21x

-34x + 14 = 378 - 21x

Now, move the terms containing "x" to one side and constants to the other side:

-34x + 21x = 378 - 14

-13x = 364

Divide both sides by -13:

x = -28

So, the solutions to the three equations are:

1. x = -12
2. x = 8
3. x = -28