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)

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

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

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.

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

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