2(x+5)+3x=4(2x-3)+7

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Solution for 2(x+5)+3x=4(2x-3)+7 equation:



2(x+5)+3x=4(2x-3)+7
We move all terms to the left:
2(x+5)+3x-(4(2x-3)+7)=0
We add all the numbers together, and all the variables
3x+2(x+5)-(4(2x-3)+7)=0
We multiply parentheses
3x+2x-(4(2x-3)+7)+10=0
We calculate terms in parentheses: -(4(2x-3)+7), so:
4(2x-3)+7
We multiply parentheses
8x-12+7
We add all the numbers together, and all the variables
8x-5
Back to the equation:
-(8x-5)
We add all the numbers together, and all the variables
5x-(8x-5)+10=0
We get rid of parentheses
5x-8x+5+10=0
We add all the numbers together, and all the variables
-3x+15=0
We move all terms containing x to the left, all other terms to the right
-3x=-15
x=-15/-3
x=+5

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