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

The answer to x+2a-b=3(x+a)-2(2a-b) is x=-(-3a+3b)/2

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x+2a-b=3(x+a)-2(2a-b)

x + 2 a - b = 3 (x + a) - 2 (2 a - b)

x = - \frac{- 3 a + 3 b}{2}

Solution steps

x + 2 a - b = 3 (x + a) - 2 (2 a - b)

Expand

3 (x + a) : 3 x + 3 a

x + 2 a - b = 3 x + 3 a - 2 (2 a - b)

Expand

- 2 (2 a - b) : - 4 a + 2 b

x + 2 a - b = 3 x + 3 a - 4 a + 2 b

Add similar elements:

3 a - 4 a = - a

x + 2 a - b = 3 x - a + 2 b

Move

2 a

to the right side

x - b = 3 x - 3 a + 2 b

Move

b

to the right side

x = 3 x - 3 a + 3 b

Move

3 x

to the left side

- 2 x = - 3 a + 3 b

Divide both sides by

- 2

x = - \frac{- 3 a + 3 b}{2}

9 = 5 - \frac{y}{3} 5 - 3 y

- 2 x + 10 = - 4 x + 12 - 4 x + 12

- 4 = 2 t - 2

x + 3 x + 5 = 6 x - 11

17 - 2 x = 4 x - 7

What is the answer to x+2a-b=3(x+a)-2(2a-b) ?
The answer to x+2a-b=3(x+a)-2(2a-b) is x=-(-3a+3b)/2