I just did 40 problems can you help me with these 6 I skipped?

Question

solve the equation

1. 6 - 2x = 5 - 7x
2. 3(x - 3) = 5x - 11
3. 2x + 23 = 3(2x + 1)
4. 5x = 5 (-3 + 2x)
5. 2x = 10x + 16
6. 2(3 - x) = 22 + 2x

Answer 1

1.) 6 - 2x = 5 - 7x (original equation)
6 + 5x = 5 (added 7x to both sides)
5x = -1 (subtracted 6 from both sides)
x = -1/5 (divided both sides by 5)

2.) 3(x - 3) = 5x - 11 (original equation)
3x - 9 = 5x - 11 (distributed the 3)
3x + 2 = 5x (added 11 to both sides)
2 = 2x (subtracted 3x from both sides)
x = 1 (divided both sides by 2 and flipped the equation)

3.) 2x + 23 = 3(2x + 1) (original equation)
2x + 23 = 6x + 3 (distributed the 3)
2x + 20 = 6x (subtracted 3 from both sides)
20 = 4x (subtracted 2x from both sides)
x = 5 (divided both sides by 4 and flipped equation)

4.) 5x = 5 (-3 + 2x) (original equation)
5x = -15 + 10x (distributed the 5)
-5x = -15 (subtracted 10x from both sides)
x = 3 (divided both sides by -5)

5.) 2x = 10x + 16 (original equation)
-8x = 16 (subtracted 10x from both sides)
x = -2 (divided both sides by -8)

6.) 2(3 - x) = 22 + 2x (original equation)
6 - 2x = 22 + 2x (distributed the 2)
-2x = 16 + 2x (subtracted 6 from both sides)
-4x = 16 (subtracted 2x from both sides)
x = -4 (divided both sides by -4)

Answer 2

I'll give it a try:

1. 6-2x =5-7x (put like signs together)
6-5=2x-7x
1= -5x
x= -1/5

2. 3(x-3)=5x-11
3x-9=5x-11
-9+11=5x-3x
2=2x
1=x

3. 2x+23=3(2x+1)
2x+23=6x+3
23-3 =6x-2x
20= 4x (divide 20 by 4)
5=x

4. 5x= 5 (-3 + 2x)
5x= -15 +10x
15 =10x -5x
15 =5x (divide 15 by 5)
3= x

5. 2x= 10x +16
-16=10x-2x
-16 =8x
-2= x

6. 2(3-x) =22 + 2x
6-2x=22 + 2x
6-22=2x +2x
-16 = 4x
-4 =x

Answer 3

1. 6-2x = 5-7x
7x-2x = 5-6
5x = -1
x = -1/5
x = .2

2. 3(x-3) = 5x-11
3x-9 = 5x-11
3x-5x = -11 + 9
-2x = -2
x = -2/-2
x = 1

3. 2x+23 = 3(2x+1)
2x+23 = 6x+3
2x-6x = 3-23
-4x = -20
x = -20/-4
x = 5

4. 5x = 5(-3+2x)
5x = -15+10x
5x-10x = -15
-5x = -15
x = -15/-5
x = 3

5. 2x = 10x+16
2x-10x = 16
-8x = 16
x = 16/-8
x = -2

6. 2(3-x) = 22+2x
6-2x = 22+2x
-2x-2x = 22-6
-4x = 16
x = 16/-4
x = -4

Answer 4

YOU MAY ONLY COPY IF YOU TRULY UNDERSTAND HOW YOU GOT THE ANSWER & CAN EXPLAIN IT!!!!!!

1) 6 - 2x = 5 - 7x
subtract 5 from each side: 1 - 2x = -7x
add 7x to each side: 1 + 5x = 0
subtract 1 from each side: 5x = -1
divide each side by 5: x = -0.25

2) 3(x - 3) = 5x - 11
distribute the 3 to all inside the parentheses: 3x - 9 = 5x - 11
add 11 to each side: 3x + 2 = 5x
subtract 3x from each side: 2 = 2x
divide both sides by 2: 1 = x

3) 2x + 23 = 3(2x +1)
distribute the 3 to everything inside the parentheses:
2x + 23 = 6x + 3
subtract 3 from each side: 2x + 20 = 6x
subtract 2x from each side: 20 = 4x
divide both sides by 4: 5 = x

4) 5x = 5(-3 + 2x)
distribute the 5 to everything inside the parentheses:
5x = -15 + 10x
subtract 5x from both sides: 0 = -15 + 5x
add 15 to both sides: 15 = 5x
divide both sides by 5: 3 = x

5) 2x = 10x + 16
subtract 2x from each side: 0 = 8x + 16
subtract 16 from each side: -16 = 8x
divide both sides by 8: -2 = x

6) 2(3-x) = 22 + 2x
distribute the 2 to everything in the parentheses:
6 - 2x = 22 + 2x
add 2x to each side: 6 = 22 + 4x
subtract 6 from each side: 0 = 26 + 4x
subtract 26 both from sides: -26 = 4x
divide both sides by 4: -6 1/2 = x

Hope this helped.

Answer 5

1. 5x = -1, x = -1/5
2. 3x -9 = 5x -11, 2 = 2x, x = 1
3. 2x + 23 = 6x + 3, 20 = 4x, x = 5
4. 5x = -15 + 10x, 15 = 5x, x = 3
5. -16 = 8x, x = -2
6. 6 -2x = 22 + 2x, -4x = 16, x = -4

Answer 6

1. subtract 5 to the other side, add 2x to the other side and solve for x

2. distribute 3 into (x-3), subtract 5x from both sides, add 9 to both sides and solve for x

3. distribute 3 into (2x+1)....solve for x

4. distribute 5 into (-3+2x)...solve for x

5. subtract 10x from both sides, solve for x

6. divide both sides by 2....solve for x