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5x+7x-8x+3(5x-4)/5=3(2x-3)/2-1/10
We simplify the equation to the form, which is simple to understand
5x+7x-8x+3(5x-4)/5=3(2x-3)/2-1/10
Reorder the terms in parentheses
5x+7x-8x+(+15x-12)/5=3*(2x-3)/2-0.1
Reorder the terms in parentheses
5x+7x-8x+(+3x-2.4)=3*(2x-3)/2-0.1
Remove unnecessary parentheses
+5x+7x-8x+3x-2.4=+3+*(+2x-3+)+/2-0.1
Reorder the terms in parentheses
5x+7x-8x+3x-2.4=+(+6x-9)/2-0.1
Reorder the terms in parentheses
5x+7x-8x+3x-2.4=+(+3x-4.5)-0.1
Remove unnecessary parentheses
+5x+7x-8x+3x-2.4=+3x-4.5-0.1
We move all terms containing x to the left and all other terms to the right.
+5x+7x-8x+3x-3x=-4.5-0.1+2.4
We simplify left and right side of the equation.
+4x=-2.2
We divide both sides of the equation by 4 to get x.
x=-0.55
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