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

The answer to (2a-3)/3 =(4a+2)/4 is a=-9/2

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

\frac{2 a - 3}{3} = \frac{4 a + 2}{4}

a = - \frac{9}{2}

Decimal Notation

a = - 4.5

Solution steps

\frac{2 a - 3}{3} = \frac{4 a + 2}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 a - 3) \cdot 4 : 8 a - 12

Expand

3 (4 a + 2) : 12 a + 6

8 a - 12 = 12 a + 6

Move

12

to the right side

8 a = 12 a + 18

Move

12 a

to the left side

- 4 a = 18

Divide both sides by

- 4

a = - \frac{9}{2}

x^{2} + 7 x + 10 \leq 0

\frac{2 x ^{2}}{3} - x < \frac{8 x}{3} (1 + x) + 1

3 r - 6 = 18

8 1^{\frac{5}{2}}

1.6 < 1.9 y + 5.4

What is the answer to (2a-3)/3 =(4a+2)/4 ?
The answer to (2a-3)/3 =(4a+2)/4 is a=-9/2
Solve for a: (2a-3)/3 =(4a+2)/4
The solution is a=-9/2