What is the answer to (6a+7)/4 =(a-1)/2 ?

The answer to (6a+7)/4 =(a-1)/2 is a=-9/4

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(6a+7)/4 =(a-1)/2

\frac{6 a + 7}{4} = \frac{a - 1}{2}

a = - \frac{9}{4}

Decimal Notation

a = - 2.25

Solution steps

\frac{6 a + 7}{4} = \frac{a - 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(6 a + 7) \cdot 2 = 4 (a - 1)

Expand

(6 a + 7) \cdot 2 : 12 a + 14

Expand

4 (a - 1) : 4 a - 4

12 a + 14 = 4 a - 4

Move

14

to the right side

12 a = 4 a - 18

Move

4 a

to the left side

8 a = - 18

Divide both sides by

8

a = - \frac{9}{4}

6 x + 12 + 7 x - 92 = 180

a + 294 = - 305

7 - 3 x = 4 (2 - x)

x, x y - 5 x - 7 = 0

\frac{16}{7} x = - \frac{24}{7}

What is the answer to (6a+7)/4 =(a-1)/2 ?
The answer to (6a+7)/4 =(a-1)/2 is a=-9/4
Solve for a: (6a+7)/4 =(a-1)/2
The solution is a=-9/4