a(bx-c)=d-(x-e)

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Solution for a(bx-c)=d-(x-e) equation:


Simplifying
a(bx + -1c) = d + -1(x + -1e)
(bx * a + -1c * a) = d + -1(x + -1e)
(abx + -1ac) = d + -1(x + -1e)

Reorder the terms:
abx + -1ac = d + -1(-1e + x)
abx + -1ac = d + (-1e * -1 + x * -1)
abx + -1ac = d + (1e + -1x)

Solving
abx + -1ac = d + 1e + -1x

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Reorder the terms:
abx + -1ac + -1d + -1e + x = d + -1d + 1e + -1e + -1x + x

Combine like terms: d + -1d = 0
abx + -1ac + -1d + -1e + x = 0 + 1e + -1e + -1x + x
abx + -1ac + -1d + -1e + x = 1e + -1e + -1x + x

Combine like terms: 1e + -1e = 0
abx + -1ac + -1d + -1e + x = 0 + -1x + x
abx + -1ac + -1d + -1e + x = -1x + x

Combine like terms: -1x + x = 0
abx + -1ac + -1d + -1e + x = 0

The solution to this equation could not be determined.

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