0.098=(0.114x)+(0.064(1-x))

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Solution for 0.098=(0.114x)+(0.064(1-x)) equation:


Simplifying
0.098 = (0.114x) + (0.064(1 + -1x))
0.098 = (0.114x) + ((1 * 0.064 + -1x * 0.064))
0.098 = (0.114x) + ((0.064 + -0.064x))
0.098 = (0.114x) + (0.064 + -0.064x)

Remove parenthesis around (0.064 + -0.064x)
0.098 = (0.114x) + 0.064 + -0.064x

Reorder the terms:
0.098 = 0.064 + (0.114x) + -0.064x

Combine like terms: (0.114x) + -0.064x = 0.05x
0.098 = 0.064 + 0.05x

Solving
0.098 = 0.064 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
0.098 + -0.05x = 0.064 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
0.098 + -0.05x = 0.064 + 0.00
0.098 + -0.05x = 0.064

Add '-0.098' to each side of the equation.
0.098 + -0.098 + -0.05x = 0.064 + -0.098

Combine like terms: 0.098 + -0.098 = 0.000
0.000 + -0.05x = 0.064 + -0.098
-0.05x = 0.064 + -0.098

Combine like terms: 0.064 + -0.098 = -0.034
-0.05x = -0.034

Divide each side by '-0.05'.
x = 0.68

Simplifying
x = 0.68

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