What is the answer to (2(m+4)+13)/5 =(21-(8-3m))/4 ?

The answer to (2(m+4)+13)/5 =(21-(8-3m))/4 is m= 19/7

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(2(m+4)+13)/5 =(21-(8-3m))/4

\frac{2 ( m + 4 ) + 13}{5} = \frac{21 - ( 8 - 3 m )}{4}

m = \frac{19}{7}

Decimal Notation

m = 2.71428 \dots

Solution steps

\frac{2 ( m + 4 ) + 13}{5} = \frac{21 - ( 8 - 3 m )}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 (m + 4) + 13) \cdot 4 = 5 (21 - (8 - 3 m))

Simplify

4 (2 m + 21) = 5 (3 m + 13)

Expand

4 (2 m + 21) : 8 m + 84

Expand

5 (3 m + 13) : 15 m + 65

8 m + 84 = 15 m + 65

Move

84

to the right side

8 m = 15 m - 19

Move

15 m

to the left side

- 7 m = - 19

Divide both sides by

- 7

m = \frac{19}{7}

x, 11 x + 7 y = 123

y, 2 x + y = 0

(3 - \frac{x}{4}) + (x - \frac{x}{3}) + 7 = (1 - \frac{3 x}{2}) - \frac{7}{12}

- 2 (- 1 + v) - 3 v = - v + 18

x + 18 + 5 x - 6 = 180

What is the answer to (2(m+4)+13)/5 =(21-(8-3m))/4 ?
The answer to (2(m+4)+13)/5 =(21-(8-3m))/4 is m= 19/7
Solve for m: (2(m+4)+13)/5 =(21-(8-3m))/4
The solution is m= 19/7