x(a-9b)=3m(x-c)

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Solution for x(a-9b)=3m(x-c) equation:


Simplifying
x(a + -9b) = 3m(x + -1c)
(a * x + -9b * x) = 3m(x + -1c)
(ax + -9bx) = 3m(x + -1c)

Reorder the terms:
ax + -9bx = 3m(-1c + x)
ax + -9bx = (-1c * 3m + x * 3m)
ax + -9bx = (-3cm + 3mx)

Solving
ax + -9bx = -3cm + 3mx

Solving for variable 'a'.

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

Add '9bx' to each side of the equation.
ax + -9bx + 9bx = -3cm + 9bx + 3mx

Combine like terms: -9bx + 9bx = 0
ax + 0 = -3cm + 9bx + 3mx
ax = -3cm + 9bx + 3mx

Reorder the terms:
ax = 9bx + -3cm + 3mx

Divide each side by 'x'.
a = 9b + -3cmx-1 + 3m

Simplifying
a = 9b + -3cmx-1 + 3m

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