M+4=-m+10

2x-2=x-4

5n-9=4n+2

5m-9=4m+2

-2x+3=-3x-1

7n+8=6n+4

m+3=-m-1

12m-5=11m-5

-3x+1=5x-7

5x-3=x-12

(I've been having trouble with these)

Question 1

M + 4 = - M + 10

First reorganize the terms on the left side

M + 4 = 10 - M

Take away 4 from both sides

M + 4 - 4 = 10 - M - 4

M = 10 - M - 4

Combine positive 10 and negative 4

M = 6 - M

Add M to both of the sides

M + M = 6 - M + M

M + M = 6

2M = 6

Divide both sides by 2

2M/2 = 6/2

M = 3

Question 2



2x - 2 = x - 4

Take away 1x from both sides of the equation

2x - 2 = x - 4

2x - 1x - 2 = x - 1x - 4

1x - 2 = - 4

x - 2 = - 4

Add 2 to both of the sides of the equation

x - 2 + 2 = - 4 + 2

x = - 2

Question 3



5n - 9 = 4n + 2

Add 9 to both sides of the equation

5n - 9 + 9 = 4n + 2 + 9

5n = 4n + 11

take away 4n from from both sides of the equation

5n - 4n = 4n - 4n + 11

5n - 4n = 11

1n = 11

n = 11

Question 4 has the same values for question 3, they just changed n to a m

5m - 9 = 4m + 2

m = 11

Question 5



-2x + 3 = - 3x - 1

Add 3x to both sides of the equation

-2x + 3x + 3 = - 3x + 3x - 1

1x + 3 = - 1

x + 3 = - 1

Take away 3 from both sides of the equation

x + 3 - 3 = - 1 - 3

x = - 4

Question 6

7n + 8 = 6n + 4

Take away 6n from both sides of the equation



7n - 6n + 8 = 6n - 6n + 4

1n + 8 = 4

n + 8 = 4

Take away 8 from both sides of the equation

n + 8 - 8 = 4 - 8

n = - 4

Question 7



m + 3 = - m - 1



Add 1m to both sides of the equation

m + 1m + 3 = - m + 1m - 1

2m + 3 = - 1

Take away 3 from both sides of the equation

2m + 3 - 3 = - 1 - 3

2m = - 4