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

The answer to (4a-2)/3 =(5(a+3))/2 is a=-7

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

\frac{4 a - 2}{3} = \frac{5 ( a + 3 )}{2}

a = - 7

Solution steps

\frac{4 a - 2}{3} = \frac{5 ( a + 3 )}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

(4 a - 2) \cdot 2 = 15 (a + 3)

Expand

(4 a - 2) \cdot 2 : 8 a - 4

Expand

15 (a + 3) : 15 a + 45

8 a - 4 = 15 a + 45

Move

4

to the right side

8 a = 15 a + 49

Move

15 a

to the left side

- 7 a = 49

Divide both sides by

- 7

a = - 7

x, y - 3 = \frac{1}{3} (x - (- 4))

- 3 x - 2 + 16 (2 x + 1) = - \frac{2 ( 6 x - 4 )}{8}

b = 2 - \frac{2 b - 4}{3}

x, z = 3 x - 2 x y

3 D^{3} y - 4 D^{2} y - 5 Dy + 3 y = 0

What is the answer to (4a-2)/3 =(5(a+3))/2 ?
The answer to (4a-2)/3 =(5(a+3))/2 is a=-7
Solve for a: (4a-2)/3 =(5(a+3))/2
The solution is a=-7