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Popular >

2x-1=(A+B)x-2A

Solution

2 x - 1 = (A + B) x - 2 A

Solution

x = \frac{- 2 A + 1}{2 - A - B}; A \neq = - B + 2

Solution steps

2 x - 1 = (A + B) x - 2 A

Expand

(A + B) x - 2 A : A x + B x - 2 A

2 x - 1 = A x + B x - 2 A

Move

1

to the right side

2 x = A x + B x - 2 A + 1

Subtract

A x + B x

from both sides

2 x - (A x + B x) = A x + B x - 2 A + 1 - (A x + B x)

Simplify

2 x - A x - B x = - 2 A + 1

Factor

2 x - A x - B x : x (2 - A - B)

x (2 - A - B) = - 2 A + 1

Divide both sides by

2 - A - B; A \neq = - B + 2

x = \frac{- 2 A + 1}{2 - A - B}; A \neq = - B + 2

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- \frac{1}{4} = - \frac{1}{4} + \frac{1}{8} y

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a, z = (a - 8) + (b - 2) i

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x, - 3 x + y = 18

Frequently Asked Questions (FAQ)

What is the answer to 2x-1=(A+B)x-2A ?
The answer to 2x-1=(A+B)x-2A is x=(-2A+1)/(2-A-B);\quad A\ne-B+2