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

The answer to 2(ax+3)=4x-3(4x+8) is x=-(15)/(a+4);\quad a\ne-4

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2(ax+3)=4x-3(4x+8)

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

x = - \frac{15}{a + 4}; a \neq = - 4

Solution steps

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

Expand

- 3 (4 x + 8) : - 12 x - 24

2 a x + 6 = 4 x - 12 x - 24

Add similar elements:

4 x - 12 x = - 8 x

2 a x + 6 = - 8 x - 24

Expand

2 (a x + 3) : 2 a x + 6

2 a x + 6 = - 8 x - 24

Move

6

to the right side

2 a x = - 8 x - 30

Move

8 x

to the left side

2 a x + 8 x = - 30

Factor

2 a x + 8 x : 2 x (a + 4)

2 x (a + 4) = - 30

Divide both sides by

2 (a + 4); a \neq = - 4

x = - \frac{15}{a + 4}; a \neq = - 4

x, 4 x - 2 y = - 8

y, 2 x + y = - 1

- 3 (\frac{7 x}{3} - \frac{2 x}{4}) - \frac{5 x + 1}{3} = \frac{11 x}{6}

(2 x + 3) 2 - 4 (2 x + 3) - 12 = 0

12 x - 42 = 18

What is the answer to 2(ax+3)=4x-3(4x+8) ?
The answer to 2(ax+3)=4x-3(4x+8) is x=-(15)/(a+4);\quad a\ne-4