What is the answer to ax+12=(2-a)x+8-3a ?

The answer to ax+12=(2-a)x+8-3a is x=(-3a-4)/(2(-1+a));\quad a\ne 1

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ax+12=(2-a)x+8-3a

a x + 12 = (2 - a) x + 8 - 3 a

x = \frac{- 3 a - 4}{2 ( - 1 + a )}; a \neq = 1

Solution steps

a x + 12 = (2 - a) x + 8 - 3 a

Expand

(2 - a) x + 8 - 3 a : 2 x - a x + 8 - 3 a

a x + 12 = 2 x - a x + 8 - 3 a

Move

12

to the right side

a x = 2 x - a x - 3 a - 4

Subtract

2 x - a x

from both sides

a x - (2 x - a x) = 2 x - a x - 3 a - 4 - (2 x - a x)

Simplify

2 a x - 2 x = - 3 a - 4

Factor

2 a x - 2 x : 2 x (a - 1)

2 x (a - 1) = - 3 a - 4

Divide both sides by

2 (a - 1); a \neq = 1

x = \frac{- 3 a - 4}{2 ( - 1 + a )}; a \neq = 1

3 + \frac{x}{5} = 7

3 w - 4 = 26

x, ma = k x - m g

m, 2 m + 3 = n

16 y + 4 = 3 y + 11 + 110

What is the answer to ax+12=(2-a)x+8-3a ?
The answer to ax+12=(2-a)x+8-3a is x=(-3a-4)/(2(-1+a));\quad a\ne 1