What is the answer to (12(2200))/(2200+x)=1.96 ?

The answer to (12(2200))/(2200+x)=1.96 is x= 552200/49

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(12(2200))/(2200+x)=1.96

\frac{12 ( 2200 )}{2200 + x} = 1.96

x = \frac{552200}{49}

Decimal Notation

x = 11269.38775 \dots

Solution steps

\frac{12 ( 2200 )}{2200 + x} = 1.96

Simplify

\frac{12 ( 2200 )}{2200 + x} : \frac{26400}{2200 + x}

\frac{26400}{2200 + x} = 1.96

Multiply both sides by

2200 + x

26400 = 1.96 (2200 + x)

Switch sides

1.96 (2200 + x) = 26400

Multiply both sides by

100

196 (2200 + x) = 2640000

Divide both sides by

196

2200 + x = \frac{660000}{49}

Move

2200

to the right side

x = \frac{552200}{49}

Verify Solutions

Find undefined (singularity) points:

x = - 2200

Combine undefined points with solutions:

x = \frac{552200}{49}

\frac{3}{x} - 5 = 5 + \frac{5}{x}

\frac{16}{y + 7} = \frac{4}{3}

30 = \frac{6 ( x - 1 )}{5 + 2 x}

\frac{100}{360} = \frac{5 π}{x}

- 3 = x + \frac{3}{x}

What is the answer to (12(2200))/(2200+x)=1.96 ?
The answer to (12(2200))/(2200+x)=1.96 is x= 552200/49
Solve for x: (12(2200))/(2200+x)=1.96
The solution is x= 552200/49