0.089=x+[1.3*(0.08-x)]

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Solution for 0.089=x+[1.3*(0.08-x)] equation: 


Simplifying
0.089 = x + [1.3(0.08 + -1x)]
0.089 = x + [(0.08 * 1.3 + -1x * 1.3)]
0.089 = x + [(0.104 + -1.3x)]
0.089 = x + [0.104 + -1.3x]

Remove brackets around [0.104 + -1.3x]
0.089 = x + 0.104 + -1.3x

Reorder the terms:
0.089 = 0.104 + x + -1.3x

Combine like terms: x + -1.3x = -0.3x
0.089 = 0.104 + -0.3x

Solving
0.089 = 0.104 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
0.089 + 0.3x = 0.104 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
0.089 + 0.3x = 0.104 + 0.0
0.089 + 0.3x = 0.104

Add '-0.089' to each side of the equation.
0.089 + -0.089 + 0.3x = 0.104 + -0.089

Combine like terms: 0.089 + -0.089 = 0.000
0.000 + 0.3x = 0.104 + -0.089
0.3x = 0.104 + -0.089

Combine like terms: 0.104 + -0.089 = 0.015
0.3x = 0.015

Divide each side by '0.3'.
x = 0.05

Simplifying
x = 0.05

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