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

The answer to x-a+2=2ax-3(a+x)-2(a-5) is x=2;\quad a\ne 2

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x-a+2=2ax-3(a+x)-2(a-5)

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

x = 2; a \neq = 2

Solution steps

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

Expand

2 a x - 3 (a + x) - 2 (a - 5) : 2 a x - 3 x - 5 a + 10

x - a + 2 = 2 a x - 3 x - 5 a + 10

Move

a

to the right side

x + 2 = 2 a x - 3 x - 4 a + 10

Move

2

to the right side

x = 2 a x - 3 x + 8 - 4 a

Subtract

2 a x - 3 x

from both sides

x - (2 a x - 3 x) = 2 a x - 3 x + 8 - 4 a - (2 a x - 3 x)

Simplify

- 2 a x + 4 x = 8 - 4 a

Factor

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

2 x (- a + 2) = 8 - 4 a

Divide both sides by

2 (- a + 2); a \neq = 2

x = 2; a \neq = 2

x, x - 3 y = - 9

x, 15 x - 3 y = 15

f, y = f + 3

x, x - 3 y = - 12

4.5 x = 18

What is the answer to x-a+2=2ax-3(a+x)-2(a-5) ?
The answer to x-a+2=2ax-3(a+x)-2(a-5) is x=2;\quad a\ne 2