Question

12-3(5x+2)=7(2-3x)+2​

Answer 1

Answer:

12-3(5x+2)=7(2-3x)+2

We move all terms to the left:

12-3(5x+2)-(7(2-3x)+2)=0

We add all the numbers together, and all the variables

-3(5x+2)-(7(-3x+2)+2)+12=0

We multiply parentheses

-15x-(7(-3x+2)+2)-6+12=0

We calculate terms in parentheses: -(7(-3x+2)+2), so:

7(-3x+2)+2

We multiply parentheses

-21x+14+2

We add all the numbers together, and all the variables

-21x+16

Back to the equation:

-(-21x+16)

We add all the numbers together, and all the variables

-15x-(-21x+16)+6=0

We get rid of parentheses

-15x+21x-16+6=0

We add all the numbers together, and all the variables

6x-10=0

We move all terms containing x to the left, all other terms to the right

6x=10

x=10/6

x=1+2/3