What is the answer to (2w+4)/3 =(5w-2)/5 ?

The answer to (2w+4)/3 =(5w-2)/5 is w= 26/5

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(2w+4)/3 =(5w-2)/5

\frac{2 w + 4}{3} = \frac{5 w - 2}{5}

w = \frac{26}{5}

Decimal Notation

w = 5.2

Solution steps

\frac{2 w + 4}{3} = \frac{5 w - 2}{5}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(2 w + 4) \cdot 5 = 3 (5 w - 2)

Expand

(2 w + 4) \cdot 5 : 10 w + 20

Expand

3 (5 w - 2) : 15 w - 6

10 w + 20 = 15 w - 6

Move

20

to the right side

10 w = 15 w - 26

Move

15 w

to the left side

- 5 w = - 26

Divide both sides by

- 5

w = \frac{26}{5}

(a - b) x + x (a + b) = 2 b

- 8.8 + 4 (7 x + 5.1) = 6

7 m - \frac{12}{2} = 78

5 x + 32 = 8 - x

2.5 x - 3 = 2 x - 2

What is the answer to (2w+4)/3 =(5w-2)/5 ?
The answer to (2w+4)/3 =(5w-2)/5 is w= 26/5
Solve for w: (2w+4)/3 =(5w-2)/5
The solution is w= 26/5