xt(0.18x)=(x+1)0.18x-0.18x

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Solution for xt(0.18x)=(x+1)0.18x-0.18x equation: 


Simplifying
xt(0.18x) = (x + 1) * 0.18x + -0.18x

Remove parenthesis around (0.18x)
tx * 0.18x = (x + 1) * 0.18x + -0.18x

Reorder the terms for easier multiplication:
0.18tx * x = (x + 1) * 0.18x + -0.18x

Multiply tx * x
0.18tx2 = (x + 1) * 0.18x + -0.18x

Reorder the terms:
0.18tx2 = (1 + x) * 0.18x + -0.18x

Reorder the terms for easier multiplication:
0.18tx2 = 0.18x(1 + x) + -0.18x
0.18tx2 = (1 * 0.18x + x * 0.18x) + -0.18x
0.18tx2 = (0.18x + 0.18x2) + -0.18x

Reorder the terms:
0.18tx2 = 0.18x + -0.18x + 0.18x2

Combine like terms: 0.18x + -0.18x = 0.00
0.18tx2 = 0.00 + 0.18x2
0.18tx2 = 0.18x2

Solving
0.18tx2 = 0.18x2

Solving for variable 't'.

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

Divide each side by '0.18x2'.
t = 1

Simplifying
t = 1

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