I really REALLY need the work for these 5 math problems, I can't wrap my brain around how to understand how to do this still and I have a big test soon :') 1. x + 4 = 2x -6
2. 4(6x + 3) = 2 (4x - 2)
3. 2x + 5 = 21
4. 4(x + 6) - 11 = 25
5. 5(3x + 4) = 2(5x + 7)

1.. x  = 10

2.x = -1

3. x = 8

4. x = 3

5. x = - 6/5

Step-by-step explanation:

1.

Move terms

x - 2x + 4 = -6

x - 2x = -6 -6

-x = -6 -4

-x = -10;

x = 10;

2.

24x + 12 = 8x -4

24x - 8x = -4 - 12

16x = -16

x = -1

3.

2x = 21-5

2x = 16

x = 8

4.

4x + 24 - 11 = 25

4x + 13 = 25

4x = 25 - 13

4x = 12

x = 3

5.

15x + 20 = 2(5x + 7)

15x + 20 = 10x + 14

15x - 10x = 14 - 20

5x = -5

x = - 6/5

HOPE THIS HELPS BRANLIEST IS APPRECIATED

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )