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5(2x+3)=3(4x+1)-2(3x-2)
We simplify the equation to the form, which is simple to understand
5(2x+3)=3(4x+1)-2(3x-2)
Reorder the terms in parentheses
+(+10x+15)=3*(4x+1)-2*(3x-2)
Remove unnecessary parentheses
+10x+15=+3+*(+4x+1+)-2+*(+3x-2+)
Reorder the terms in parentheses
+10x+15=+(+12x+3)-2*(3x-2)
Remove unnecessary parentheses
+10x+15=+12x+3-2+*(+3x-2+)
Reorder the terms in parentheses
+10x+15=+12x+3+(-6x+4)
Remove unnecessary parentheses
+10x+15=+12x+3-6x+4
We move all terms containing x to the left and all other terms to the right.
+10x-12x+6x=+3+4-15
We simplify left and right side of the equation.
+4x=-8
We divide both sides of the equation by 4 to get x.
x=-2
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