Ax+x+tx=r

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Solution for Ax+x+tx=r equation: 


Simplifying
Ax + x + tx = r

Reorder the terms:
tx + x + xA = r

Solving
tx + x + xA = r

Solving for variable 't'.

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

Add '-1x' to each side of the equation.
tx + x + -1x + xA = r + -1x

Combine like terms: x + -1x = 0
tx + 0 + xA = r + -1x
tx + xA = r + -1x

Add '-1xA' to each side of the equation.
tx + xA + -1xA = r + -1x + -1xA

Combine like terms: xA + -1xA = 0
tx + 0 = r + -1x + -1xA
tx = r + -1x + -1xA

Divide each side by 'x'.
t = rx-1 + -1 + -1A

Simplifying
t = rx-1 + -1 + -1A

Reorder the terms:
t = -1 + -1A + rx-1

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