2.5(2+x)-3x=-2(x-4)+6

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Solution for 2.5(2+x)-3x=-2(x-4)+6 equation:



2.5(2+x)-3x=-2(x-4)+6
We move all terms to the left:
2.5(2+x)-3x-(-2(x-4)+6)=0
We add all the numbers together, and all the variables
2.5(x+2)-3x-(-2(x-4)+6)=0
We add all the numbers together, and all the variables
-3x+2.5(x+2)-(-2(x-4)+6)=0
We multiply parentheses
-3x+2.5x-(-2(x-4)+6)+5=0
We calculate terms in parentheses: -(-2(x-4)+6), so:
-2(x-4)+6
We multiply parentheses
-2x+8+6
We add all the numbers together, and all the variables
-2x+14
Back to the equation:
-(-2x+14)
We add all the numbers together, and all the variables
-0.5x-(-2x+14)+5=0
We get rid of parentheses
-0.5x+2x-14+5=0
We add all the numbers together, and all the variables
1.5x-9=0
We move all terms containing x to the left, all other terms to the right
1.5x=9
x=9/1.5
x=6

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