2(2x+1)-3(5x-x)=2(x-2)-4

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Solution for 2(2x+1)-3(5x-x)=2(x-2)-4 equation:



2(2x+1)-3(5x-x)=2(x-2)-4
We move all terms to the left:
2(2x+1)-3(5x-x)-(2(x-2)-4)=0
We add all the numbers together, and all the variables
2(2x+1)-3(+4x)-(2(x-2)-4)=0
We multiply parentheses
4x-12x-(2(x-2)-4)+2=0
We calculate terms in parentheses: -(2(x-2)-4), so:
2(x-2)-4
We multiply parentheses
2x-4-4
We add all the numbers together, and all the variables
2x-8
Back to the equation:
-(2x-8)
We add all the numbers together, and all the variables
-8x-(2x-8)+2=0
We get rid of parentheses
-8x-2x+8+2=0
We add all the numbers together, and all the variables
-10x+10=0
We move all terms containing x to the left, all other terms to the right
-10x=-10
x=-10/-10
x=1

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