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

The answer to 4(1-x)=x-3(x+1) is x= 7/2

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

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

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

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

Expand

- 3 (x + 1) : - 3 x - 3

4 - 4 x = x - 3 x - 3

Add similar elements:

x - 3 x = - 2 x

4 - 4 x = - 2 x - 3

Expand

4 (1 - x) : 4 - 4 x

4 - 4 x = - 2 x - 3

Move

4

to the right side

- 4 x = - 2 x - 7

Move

2 x

to the left side

- 2 x = - 7

Divide both sides by

- 2

x = \frac{7}{2}

x + 2 x = 24

x - 9 = \frac{2}{3} x

3 x + 1.5 = 2.5 x + 4.7

x, 5 y - 2 x = 10

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