What is the answer to 20+10[ 2/(2+m)]=22.2 ?

The answer to 20+10[ 2/(2+m)]=22.2 is m= 78/11

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20+10[ 2/(2+m)]=22.2

20 + 10 [\frac{2}{2 + m}] = 22.2

m = \frac{78}{11}

Decimal Notation

m = 7.09090 \dots

Solution steps

20 + 10 [\frac{2}{2 + m}] = 22.2

Move

20

to the right side

10 [\frac{2}{2 + m}] = 2.2

Simplify

10 (\frac{2}{2 + m}) : \frac{20}{2 + m}

\frac{20}{2 + m} = 2.2

Multiply both sides by

2 + m

20 = 2.2 (2 + m)

Switch sides

2.2 (2 + m) = 20

Multiply both sides by

10

22 (2 + m) = 200

Divide both sides by

22

2 + m = \frac{100}{11}

Move

2

to the right side

m = \frac{78}{11}

Verify Solutions

Find undefined (singularity) points:

m = - 2

Combine undefined points with solutions:

m = \frac{78}{11}

x, y = \frac{3 x ( y + 3 )}{x}

- 2.7 = \frac{5 - t}{t ^{2} - 9}

S = \frac{C}{1 - r}, r

x^{2} + (\frac{x}{( x + 1 )})^{2} = 3

(\frac{1}{4 x})^{2} - 3 x - 12 = 0

What is the answer to 20+10[ 2/(2+m)]=22.2 ?
The answer to 20+10[ 2/(2+m)]=22.2 is m= 78/11
Solve for m: 20+10[ 2/(2+m)]=22.2
The solution is m= 78/11