What is the answer to -0.5(x+2)=2(5-x)-3x ?

The answer to -0.5(x+2)=2(5-x)-3x is x= 22/9

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-0.5(x+2)=2(5-x)-3x

- 0.5 (x + 2) = 2 (5 - x) - 3 x

x = \frac{22}{9}

Decimal Notation

x = 2.44444 \dots

Solution steps

- 0.5 (x + 2) = 2 (5 - x) - 3 x

Multiply both sides by

10

- 5 (x + 2) = 20 (5 - x) - 30 x

Expand

20 (5 - x) : 100 - 20 x

- 5 x - 10 = 100 - 20 x - 30 x

Add similar elements:

- 20 x - 30 x = - 50 x

- 5 x - 10 = 100 - 50 x

Expand

- 5 (x + 2) : - 5 x - 10

- 5 x - 10 = 100 - 50 x

Move

10

to the right side

- 5 x = - 50 x + 110

Move

50 x

to the left side

45 x = 110

Divide both sides by

45

x = \frac{22}{9}

- 152 = - 8 x - 7 (8 - 8 x)

\frac{2 x - 3}{4} = \frac{x - 3}{3}

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

3 (2 x + 4) = 36

y, 5 (x + y) = 20 + 3 x

What is the answer to -0.5(x+2)=2(5-x)-3x ?
The answer to -0.5(x+2)=2(5-x)-3x is x= 22/9
Solve for x: -0.5(x+2)=2(5-x)-3x
The solution is x= 22/9