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3x-7=-2(x-4)-5(2x+1)
We simplify the equation to the form, which is simple to understand
3x-7=-2(x-4)-5(2x+1)
Reorder the terms in parentheses
3x-7=+(-2x+8)-5*(2x+1)
Remove unnecessary parentheses
+3x-7=-2x+8-5+*(+2x+1+)
Reorder the terms in parentheses
3x-7=-2x+8+(-10x-5)
Remove unnecessary parentheses
+3x-7=-2x+8-10x-5
We move all terms containing x to the left and all other terms to the right.
+3x+2x+10x=+8-5+7
We simplify left and right side of the equation.
+15x=+10
We divide both sides of the equation by 15 to get x.
x=0.666666666667
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