100=.765x+0.06(.765x)

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Solution for 100=.765x+0.06(.765x) equation:


Simplifying
100 = 0.765x + 0.06(0.765x)

Remove parenthesis around (0.765x)
100 = 0.765x + 0.06 * 0.765x

Multiply 0.06 * 0.765
100 = 0.765x + 0.0459x

Combine like terms: 0.765x + 0.0459x = 0.8109x
100 = 0.8109x

Solving
100 = 0.8109x

Solving for variable 'x'.

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

Add '-0.8109x' to each side of the equation.
100 + -0.8109x = 0.8109x + -0.8109x

Combine like terms: 0.8109x + -0.8109x = 0.0000
100 + -0.8109x = 0.0000

Add '-100' to each side of the equation.
100 + -100 + -0.8109x = 0.0000 + -100

Combine like terms: 100 + -100 = 0
0 + -0.8109x = 0.0000 + -100
-0.8109x = 0.0000 + -100

Combine like terms: 0.0000 + -100 = -100
-0.8109x = -100

Divide each side by '-0.8109'.
x = 123.3197682

Simplifying
x = 123.3197682

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