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25\times 0.05=0.025\left(x+25\right)
Variable x cannot be equal to -25 since division by zero is not defined. Multiply both sides of the equation by x+25.
1.25=0.025\left(x+25\right)
Multiply 25 and 0.05 to get 1.25.
1.25=0.025x+0.625
Use the distributive property to multiply 0.025 by x+25.
0.025x+0.625=1.25
Swap sides so that all variable terms are on the left hand side.
0.025x=1.25-0.625
Subtract 0.625 from both sides.
0.025x=0.625
Subtract 0.625 from 1.25 to get 0.625.
x=\frac{0.625}{0.025}
Divide both sides by 0.025.
x=\frac{625}{25}
Expand \frac{0.625}{0.025} by multiplying both numerator and the denominator by 1000.
x=25
Divide 625 by 25 to get 25.