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.5(6x-10)-x=1/4(8x+24)-14
We simplify the equation to the form, which is simple to understand
.5(6x-10)-x=1/4(8x+24)-14
Reorder the terms in parentheses
+(+3x-5)-x=0.25*(8x+24)-14
Remove unnecessary parentheses
+3x-5-x=0.25+*(+8x+24+)-14
Reorder the terms in parentheses
+3x-5-x=+(+2x+6)-14
Remove unnecessary parentheses
+3x-5-x=+2x+6-14
We move all terms containing x to the left and all other terms to the right.
+3x-1x-2x=+6-14+5
We simplify left and right side of the equation.
0x=-3
0=-3
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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