What is the answer to ((a)(2x-3))/(3+13)=4x-8 ?

The answer to ((a)(2x-3))/(3+13)=4x-8 is x=(-128+3a)/(2(-32+a));\quad a\ne 32

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((a)(2x-3))/(3+13)=4x-8

\frac{( a ) ( 2 x - 3 )}{3 + 13} = 4 x - 8

x = \frac{- 128 + 3 a}{2 ( - 32 + a )}; a \neq = 32

Solution steps

\frac{( a ) ( 2 x - 3 )}{3 + 13} = 4 x - 8

Multiply both sides by

16

a (2 x - 3) = 64 x - 128

Expand

a (2 x - 3) : 2 a x - 3 a

2 a x - 3 a = 64 x - 128

Move

3 a

to the right side

2 a x = 64 x - 128 + 3 a

Move

64 x

to the left side

2 a x - 64 x = - 128 + 3 a

Factor

2 a x - 64 x : 2 x (a - 32)

2 x (a - 32) = - 128 + 3 a

Divide both sides by

2 (a - 32); a \neq = 32

x = \frac{- 128 + 3 a}{2 ( - 32 + a )}; a \neq = 32

5 x + 6 x = 4

\frac{( 2 x )}{3 + 1} = \frac{( 7 x )}{15 + 3}

a, 2 a (b + c) = (a \cdot b)

g (8) = 8 - 7

\frac{4}{5} \cdot (\frac{( x + 5 )}{6}) - \frac{2}{3} \cdot (x - \frac{1}{4}) = \frac{11}{6}

What is the answer to ((a)(2x-3))/(3+13)=4x-8 ?
The answer to ((a)(2x-3))/(3+13)=4x-8 is x=(-128+3a)/(2(-32+a));\quad a\ne 32