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

The answer to 2(3x+2)=3(-2x)-8 is x=-1

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

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

x = - 1

Solution steps

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

Remove parentheses:

(- a) = - a

2 (3 x + 2) = - 3 \cdot 2 x - 8

Multiply the numbers:

3 \cdot 2 = 6

2 (3 x + 2) = - 6 x - 8

Expand

2 (3 x + 2) : 6 x + 4

6 x + 4 = - 6 x - 8

Move

4

to the right side

6 x = - 6 x - 12

Move

6 x

to the left side

12 x = - 12

Divide both sides by

12

x = - 1

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

a, 5 b - 3 = ab - c

30 + 51 i + y = 2 (- 18 + 12 i)

9 = 9 \frac{1}{2}

6 x + 6 = 7 x + 15