5x-2(2-3x)=3(x-5)-21

Solution for 5x-2(2-3x)=3(x-5)-21 equation:

5x-2(2-3x)=3(x-5)-21

We move all terms to the left:

5x-2(2-3x)-(3(x-5)-21)=0

We add all the numbers together, and all the variables

5x-2(-3x+2)-(3(x-5)-21)=0

We multiply parentheses

5x+6x-(3(x-5)-21)-4=0


We calculate terms in parentheses: -(3(x-5)-21), so:

3(x-5)-21

We multiply parentheses

3x-15-21

We add all the numbers together, and all the variables

3x-36

Back to the equation:

-(3x-36)


We add all the numbers together, and all the variables

11x-(3x-36)-4=0

We get rid of parentheses

11x-3x+36-4=0

We add all the numbers together, and all the variables

8x+32=0

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

8x=-32

x=-32/8

x=-4