0.21=x*(1+0.05)+(1-x)*(1+0.46)

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Solution for 0.21=x*(1+0.05)+(1-x)*(1+0.46) equation: 


Simplifying
0.21 = x(1 + 0.05) + (1 + -1x)(1 + 0.46)

Combine like terms: 1 + 0.05 = 1.05
0.21 = x(1.05) + (1 + -1x)(1 + 0.46)

Reorder the terms for easier multiplication:
0.21 = 1.05x + (1 + -1x)(1 + 0.46)

Combine like terms: 1 + 0.46 = 1.46
0.21 = 1.05x + (1 + -1x)(1.46)

Reorder the terms for easier multiplication:
0.21 = 1.05x + 1.46(1 + -1x)
0.21 = 1.05x + (1 * 1.46 + -1x * 1.46)
0.21 = 1.05x + (1.46 + -1.46x)

Reorder the terms:
0.21 = 1.46 + 1.05x + -1.46x

Combine like terms: 1.05x + -1.46x = -0.41x
0.21 = 1.46 + -0.41x

Solving
0.21 = 1.46 + -0.41x

Solving for variable 'x'.

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

Add '0.41x' to each side of the equation.
0.21 + 0.41x = 1.46 + -0.41x + 0.41x

Combine like terms: -0.41x + 0.41x = 0.00
0.21 + 0.41x = 1.46 + 0.00
0.21 + 0.41x = 1.46

Add '-0.21' to each side of the equation.
0.21 + -0.21 + 0.41x = 1.46 + -0.21

Combine like terms: 0.21 + -0.21 = 0.00
0.00 + 0.41x = 1.46 + -0.21
0.41x = 1.46 + -0.21

Combine like terms: 1.46 + -0.21 = 1.25
0.41x = 1.25

Divide each side by '0.41'.
x = 3.048780488

Simplifying
x = 3.048780488

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