X(a-4b)=5m(x-c)forx

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Solution for X(a-4b)=5m(x-c)forx equation: 


Simplifying
X(a + -4b) = 5m(x + -1c) * forx
(a * X + -4b * X) = 5m(x + -1c) * forx
(aX + -4bX) = 5m(x + -1c) * forx

Reorder the terms:
aX + -4bX = 5m(-1c + x) * forx

Reorder the terms for easier multiplication:
aX + -4bX = 5m * forx(-1c + x)

Multiply m * forx
aX + -4bX = 5fmorx(-1c + x)
aX + -4bX = (-1c * 5fmorx + x * 5fmorx)
aX + -4bX = (-5cfmorx + 5fmorx2)

Solving
aX + -4bX = -5cfmorx + 5fmorx2

Solving for variable 'a'.

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

Add '4bX' to each side of the equation.
aX + -4bX + 4bX = -5cfmorx + 4bX + 5fmorx2

Combine like terms: -4bX + 4bX = 0
aX + 0 = -5cfmorx + 4bX + 5fmorx2
aX = -5cfmorx + 4bX + 5fmorx2

Reorder the terms:
aX = 4bX + -5cfmorx + 5fmorx2

Divide each side by 'X'.
a = 4b + -5cfmorxX-1 + 5fmorx2X-1

Simplifying
a = 4b + -5cfmorxX-1 + 5fmorx2X-1

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