a*x+c=k*x+5

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Solution for a*x+c=k*x+5 equation: 


Simplifying
a * x + c = k * x + 5

Multiply a * x
ax + c = k * x + 5

Multiply k * x
ax + c = kx + 5

Reorder the terms:
ax + c = 5 + kx

Solving
ax + c = 5 + kx

Solving for variable 'a'.

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

Add '-1c' to each side of the equation.
ax + c + -1c = 5 + -1c + kx

Combine like terms: c + -1c = 0
ax + 0 = 5 + -1c + kx
ax = 5 + -1c + kx

Divide each side by 'x'.
a = 5x-1 + -1cx-1 + k

Simplifying
a = 5x-1 + -1cx-1 + k

Reorder the terms:
a = -1cx-1 + k + 5x-1

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