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1000\times 0.16=x\left(0.12+0.08\right)
Add 0.12 and 0.04 to get 0.16.
160=x\left(0.12+0.08\right)
Multiply 1000 and 0.16 to get 160.
160=x\times 0.2
Add 0.12 and 0.08 to get 0.2.
x\times 0.2=160
Swap sides so that all variable terms are on the left hand side.
x=\frac{160}{0.2}
Divide both sides by 0.2.
x=\frac{1600}{2}
Expand \frac{160}{0.2} by multiplying both numerator and the denominator by 10.
x=800
Divide 1600 by 2 to get 800.