How do you solve \frac { - 3x - 3} { 6} - \frac { 1- x } { 5} = 5?

2 Answers
Jun 1, 2018

x = -19

Explanation:

As explained below:

Cross multiply as shown below:

(-3x-3)/6 - (1-x)/5 = 5

(5(-3x-3)-6(1-x))/5 xx 6 = 5

(-15x-15 - 6 +6x)/30 = 5

(-9x - 21)/30 = 5

-9x - 21 = 5 xx 30

-9x = 150+21

-9x = 171

x = -171/9

x = -19

Checking the answer:

(-3(-19) - 3)/6 - (1-(-19))/5

(57-3)/6 - 20/5

54/6 - 20/5

9 - 4 = 5

Jun 1, 2018

X=-19

Explanation:

Multiply everything by 30 to remove the fractions

(30(-3x-3))/6 - (30(1-x))/5=30xx5

Expand the brackets

5(-3x-3)-6(1-x)=150

Collect like terms

-15x-15-6+6x=150

Add 21 to both sides

-9x-21=150

Divide both sides by -9

-9x=171

x=-19