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x\times 5-8=7x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\times 5-8-7x=0
Subtract 7x from both sides.
-2x-8=0
Combine x\times 5 and -7x to get -2x.
-2x=8
Add 8 to both sides. Anything plus zero gives itself.
x=\frac{8}{-2}
Divide both sides by -2.
x=-4
Divide 8 by -2 to get -4.