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114+x\times 82=88x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
114+x\times 82-88x=0
Subtract 88x from both sides.
114-6x=0
Combine x\times 82 and -88x to get -6x.
-6x=-114
Subtract 114 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-114}{-6}
Divide both sides by -6.
x=19
Divide -114 by -6 to get 19.