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

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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

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