What is the answer to (2(a-7)}{15}=\frac{a+4)/6 ?

The answer to (2(a-7)}{15}=\frac{a+4)/6 is a=-48

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(2(a-7)}{15}=\frac{a+4)/6

\frac{2 ( a - 7 )}{15} = \frac{a + 4}{6}

a = - 48

Solution steps

\frac{2 ( a - 7 )}{15} = \frac{a + 4}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 (a - 7) \cdot 6 = 15 (a + 4)

Simplify

12 (a - 7) = 15 (a + 4)

Expand

12 (a - 7) : 12 a - 84

Expand

15 (a + 4) : 15 a + 60

12 a - 84 = 15 a + 60

Move

84

to the right side

12 a = 15 a + 144

Move

15 a

to the left side

- 3 a = 144

Divide both sides by

- 3

a = - 48

528 + 7

2 x^{2} + 3 x - 20

x = - 6 x^{2} + 384

2 x - 1 < 4 and - 5 x - 3 > - 3

\frac{3 x ^{7} y ^{5}}{x y ^{7}}

What is the answer to (2(a-7)}{15}=\frac{a+4)/6 ?
The answer to (2(a-7)}{15}=\frac{a+4)/6 is a=-48
Solve for a: (2(a-7)}{15}=\frac{a+4)/6
The solution is a=-48