What is the answer to (a-7)/3 =(a+5)/2-(7a-1)/6 ?

The answer to (a-7)/3 =(a+5)/2-(7a-1)/6 is a=5

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(a-7)/3 =(a+5)/2-(7a-1)/6

\frac{a - 7}{3} = \frac{a + 5}{2} - \frac{7 a - 1}{6}

a = 5

Solution steps

\frac{a - 7}{3} = \frac{a + 5}{2} - \frac{7 a - 1}{6}

Multiply by LCM

2 (a - 7) = 3 (a + 5) - (7 a - 1)

Expand

2 (a - 7) : 2 a - 14

Expand

3 (a + 5) - (7 a - 1) : - 4 a + 16

2 a - 14 = - 4 a + 16

Move

14

to the right side

2 a = - 4 a + 30

Move

4 a

to the left side

6 a = 30

Divide both sides by

6

a = 5

2 d + 4 = 10 + 5 d

(a^{\frac{1}{n}})^{m}

4 - 256

- 1 - (- 4)

5 x^{\frac{3}{2}}

What is the answer to (a-7)/3 =(a+5)/2-(7a-1)/6 ?
The answer to (a-7)/3 =(a+5)/2-(7a-1)/6 is a=5
Solve for a: (a-7)/3 =(a+5)/2-(7a-1)/6
The solution is a=5