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3(x-7)+4(2x+8)=-2(5-3x)
We simplify the equation to the form, which is simple to understand
3(x-7)+4(2x+8)=-2(5-3x)
Reorder the terms in parentheses
+(+3x-21)+4*(2x+8)=-2*(5-3x)
Remove unnecessary parentheses
+3x-21+4+*(+2x+8+)=-2+*(+5-3x+)
Reorder the terms in parentheses
+3x-21+(+8x+32)=-2*(5-3x)
Remove unnecessary parentheses
+3x-21+8x+32=-2+*(+5-3x+)
Reorder the terms in parentheses
+3x-21+8x+32=+(-10+6x)
Remove unnecessary parentheses
+3x-21+8x+32=-10+6x
We move all terms containing x to the left and all other terms to the right.
+3x+8x-6x=-10+21-32
We simplify left and right side of the equation.
+5x=-21
We divide both sides of the equation by 5 to get x.
x=-4.2
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