1a*x+8*b=5*c*x+d

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Solution for 1a*x+8*b=5*c*x+d equation: 


Simplifying
1a * x + 8b = 5c * x + d

Multiply a * x
1ax + 8b = 5c * x + d

Multiply c * x
1ax + 8b = 5cx + d

Solving
1ax + 8b = 5cx + d

Solving for variable 'a'.

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

Add '-8b' to each side of the equation.
1ax + 8b + -8b = 5cx + -8b + d

Combine like terms: 8b + -8b = 0
1ax + 0 = 5cx + -8b + d
1ax = 5cx + -8b + d

Reorder the terms:
1ax = -8b + 5cx + d

Divide each side by '1x'.
a = -8bx-1 + 5c + dx-1

Simplifying
a = -8bx-1 + 5c + dx-1

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