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

The answer to 2b(2a-x)=x(b-a)+a(x+b) is x=a;\quad b\ne 0

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

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

x = a; b \neq = 0

Solution steps

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

Expand

x (b - a) : b x - a x

4 ba - 2 b x = b x - a x + a (x + b)

Expand

a (x + b) : a x + ba

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

Add similar elements:

- a x + a x = 0

4 ba - 2 b x = b x + ba

Expand

2 b (2 a - x) : 4 ba - 2 b x

4 ba - 2 b x = b x + ba

Move

4 ba

to the right side

- 2 b x = b x - 3 ba

Move

b x

to the left side

- 3 b x = - 3 ba

Divide both sides by

- 3 b; b \neq = 0

x = a; b \neq = 0

x, 4 x - y = 8

x, x - 3 y = - 6

\frac{m}{5} + 9 = 11

x, 4 x - 5 y = 20

x, 3 x + 2 y = 10

What is the answer to 2b(2a-x)=x(b-a)+a(x+b) ?
The answer to 2b(2a-x)=x(b-a)+a(x+b) is x=a;\quad b\ne 0