0.10=0.07*X+0.15(1-X)

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Solution for 0.10=0.07*X+0.15(1-X) equation: 


Simplifying
0.10 = 0.07X + 0.15(1 + -1X)
0.10 = 0.07X + (1 * 0.15 + -1X * 0.15)
0.10 = 0.07X + (0.15 + -0.15X)

Reorder the terms:
0.10 = 0.15 + 0.07X + -0.15X

Combine like terms: 0.07X + -0.15X = -0.08X
0.10 = 0.15 + -0.08X

Solving
0.10 = 0.15 + -0.08X

Solving for variable 'X'.

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

Add '0.08X' to each side of the equation.
0.10 + 0.08X = 0.15 + -0.08X + 0.08X

Combine like terms: -0.08X + 0.08X = 0.00
0.10 + 0.08X = 0.15 + 0.00
0.10 + 0.08X = 0.15

Add '-0.10' to each side of the equation.
0.10 + -0.10 + 0.08X = 0.15 + -0.10

Combine like terms: 0.10 + -0.10 = 0.00
0.00 + 0.08X = 0.15 + -0.10
0.08X = 0.15 + -0.10

Combine like terms: 0.15 + -0.10 = 0.05
0.08X = 0.05

Divide each side by '0.08'.
X = 0.625

Simplifying
X = 0.625

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