5x+by=c(x-d)

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Solution for 5x+by=c(x-d) equation:


Simplifying
5x + by = c(x + -1d)

Reorder the terms:
by + 5x = c(x + -1d)

Reorder the terms:
by + 5x = c(-1d + x)
by + 5x = (-1d * c + x * c)
by + 5x = (-1cd + cx)

Solving
by + 5x = -1cd + cx

Solving for variable 'b'.

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

Add '-5x' to each side of the equation.
by + 5x + -5x = -1cd + cx + -5x

Combine like terms: 5x + -5x = 0
by + 0 = -1cd + cx + -5x
by = -1cd + cx + -5x

Divide each side by 'y'.
b = -1cdy-1 + cxy-1 + -5xy-1

Simplifying
b = -1cdy-1 + cxy-1 + -5xy-1

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