What is the answer to 2x+4(x-1)=3(2x+1)-2(x-1) ?

The answer to 2x+4(x-1)=3(2x+1)-2(x-1) is x= 9/2

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

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

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

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

Expand

4 (x - 1) : 4 x - 4

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

Add similar elements:

2 x + 4 x = 6 x

6 x - 4 = 3 (2 x + 1) - 2 (x - 1)

Expand

3 (2 x + 1) - 2 (x - 1) : 4 x + 5

6 x - 4 = 4 x + 5

Move

4

to the right side

6 x = 4 x + 9

Move

4 x

to the left side

2 x = 9

Divide both sides by

2

x = \frac{9}{2}

- 3 (2 x - 1) - 3 x - 4 = 17

9 x^{2} + 1 = 9 x + 5

x^{2} + 24 = 11 x

\frac{1}{2} (- 1)^{2}

16 x^{2} - 121

What is the answer to 2x+4(x-1)=3(2x+1)-2(x-1) ?
The answer to 2x+4(x-1)=3(2x+1)-2(x-1) is x= 9/2
Solve for x: 2x+4(x-1)=3(2x+1)-2(x-1)
The solution is x= 9/2