Question

-2(3x+9)=-54

AND 2(3x+4) -3x=35

SHOW WORK PLEASE

Answer 1

1. x=6

2. x=9

Explanation:

1.

`-2(3x+9)=-54\\-6x-18=-54\\+18 +18\\-6x=-36\\(-6x)/(-6) = (-36)/(-6)\\x=6`

2.

`2(3x+4)-3x=35\\6x+8-3x=35\\3x+8=35\\-8 -8\\3x=27\\(3x)/(3) =(27)/(3) \\x=9`

Written Explanation:

1.

-2x(3x+9)=-54

-6x-`8=54 (Distributive property)

Add 18 to both sides

-6x=-36

Divide both sides by -6 (negative divided by a negative equals a positive)

x=6

2.

2(3x+4)-3x=35

6x+8-3x=35 (distributive property)

3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)

Subtract 8 from both sides

3x=27

Divide both sides by 3

x=9