What is the answer to 2w+2(w+4 1/4)=124 1/2 ?

The answer to 2w+2(w+4 1/4)=124 1/2 is w=29

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2w+2(w+4 1/4)=124 1/2

2 w + 2 (w + 4 \frac{1}{4}) = 124 \frac{1}{2}

w = 29

Solution steps

2 w + 2 (w + 4 \frac{1}{4}) = 124 \frac{1}{2}

Convert mixed numbers to improper fractions:

124 \frac{1}{2} = \frac{249}{2}

2 w + 2 (w + 4 \frac{1}{4}) = \frac{249}{2}

Convert mixed numbers to improper fractions:

4 \frac{1}{4} = \frac{17}{4}

2 w + 2 (w + \frac{17}{4}) = \frac{249}{2}

Expand

2 (w + \frac{17}{4}) : 2 w + \frac{17}{2}

2 w + 2 w + \frac{17}{2} = \frac{249}{2}

Add similar elements:

2 w + 2 w = 4 w

4 w + \frac{17}{2} = \frac{249}{2}

Move

\frac{17}{2}

to the right side

4 w = 116

Divide both sides by

4

w = 29

3 (x + 1) = 18

2 + 2 x - 5 = 5 (x + 3)

a, z^{2} - 2 zy + 3 y^{2} = 4 a

2 + 3 m = - 4 + 4 m

12 + 2 y = 10 y - 12

What is the answer to 2w+2(w+4 1/4)=124 1/2 ?
The answer to 2w+2(w+4 1/4)=124 1/2 is w=29
Solve for w: 2w+2(w+4 1/4)=124 1/2
The solution is w=29