(x+100).6=x+.01(100)(x+100)

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Solution for (x+100).6=x+.01(100)(x+100) equation:


Simplifying
(x + 100) * 0.6 = x + 0.01(100)(x + 100)

Reorder the terms:
(100 + x) * 0.6 = x + 0.01(100)(x + 100)

Reorder the terms for easier multiplication:
0.6(100 + x) = x + 0.01(100)(x + 100)
(100 * 0.6 + x * 0.6) = x + 0.01(100)(x + 100)
(60 + 0.6x) = x + 0.01(100)(x + 100)

Reorder the terms:
60 + 0.6x = x + 0.01 * 100(100 + x)

Multiply 0.01 * 100
60 + 0.6x = x + 1(100 + x)
60 + 0.6x = x + (100 * 1 + x * 1)
60 + 0.6x = x + (100 + 1x)

Reorder the terms:
60 + 0.6x = 100 + x + 1x

Combine like terms: x + 1x = 2x
60 + 0.6x = 100 + 2x

Solving
60 + 0.6x = 100 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
60 + 0.6x + -2x = 100 + 2x + -2x

Combine like terms: 0.6x + -2x = -1.4x
60 + -1.4x = 100 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + -1.4x = 100 + 0
60 + -1.4x = 100

Add '-60' to each side of the equation.
60 + -60 + -1.4x = 100 + -60

Combine like terms: 60 + -60 = 0
0 + -1.4x = 100 + -60
-1.4x = 100 + -60

Combine like terms: 100 + -60 = 40
-1.4x = 40

Divide each side by '-1.4'.
x = -28.57142857

Simplifying
x = -28.57142857

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