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14\times 8=4\times 7\left(3.2+x\right)
Multiply both sides of the equation by 2.
112=4\times 7\left(3.2+x\right)
Multiply 14 and 8 to get 112.
112=28\left(3.2+x\right)
Multiply 4 and 7 to get 28.
112=89.6+28x
Use the distributive property to multiply 28 by 3.2+x.
89.6+28x=112
Swap sides so that all variable terms are on the left hand side.
28x=112-89.6
Subtract 89.6 from both sides.
28x=22.4
Subtract 89.6 from 112 to get 22.4.
x=\frac{22.4}{28}
Divide both sides by 28.
x=\frac{224}{280}
Expand \frac{22.4}{28} by multiplying both numerator and the denominator by 10.
x=\frac{4}{5}
Reduce the fraction \frac{224}{280} to lowest terms by extracting and canceling out 56.