100*0.3+100*0.7*(1+x)=100*(1+0.7)*0.90+100*(1+0.7)*0.10*(1+x)

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Solution for 100*0.3+100*0.7*(1+x)=100*(1+0.7)*0.90+100*(1+0.7)*0.10*(1+x) equation: 


Simplifying
100 * 0.3 + 100 * 0.7(1 + x) = 100(1 + 0.7) * 0.90 + 100(1 + 0.7) * 0.10(1 + x)

Multiply 100 * 0.3
30 + 100 * 0.7(1 + x) = 100(1 + 0.7) * 0.90 + 100(1 + 0.7) * 0.10(1 + x)

Multiply 100 * 0.7
30 + 70(1 + x) = 100(1 + 0.7) * 0.90 + 100(1 + 0.7) * 0.10(1 + x)
30 + (1 * 70 + x * 70) = 100(1 + 0.7) * 0.90 + 100(1 + 0.7) * 0.10(1 + x)
30 + (70 + 70x) = 100(1 + 0.7) * 0.90 + 100(1 + 0.7) * 0.10(1 + x)

Combine like terms: 30 + 70 = 100
100 + 70x = 100(1 + 0.7) * 0.90 + 100(1 + 0.7) * 0.10(1 + x)

Combine like terms: 1 + 0.7 = 1.7
100 + 70x = 100(1.7) * 0.90 + 100(1 + 0.7) * 0.10(1 + x)

Multiply 100 * 1.7
100 + 70x = 170 * 0.90 + 100(1 + 0.7) * 0.10(1 + x)

Multiply 170 * 0.90
100 + 70x = 153 + 100(1 + 0.7) * 0.10(1 + x)

Combine like terms: 1 + 0.7 = 1.7
100 + 70x = 153 + 100(1.7) * 0.10(1 + x)

Multiply 100 * 1.7
100 + 70x = 153 + 170 * 0.10(1 + x)

Multiply 170 * 0.10
100 + 70x = 153 + 17(1 + x)
100 + 70x = 153 + (1 * 17 + x * 17)
100 + 70x = 153 + (17 + 17x)

Combine like terms: 153 + 17 = 170
100 + 70x = 170 + 17x

Solving
100 + 70x = 170 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
100 + 70x + -17x = 170 + 17x + -17x

Combine like terms: 70x + -17x = 53x
100 + 53x = 170 + 17x + -17x

Combine like terms: 17x + -17x = 0
100 + 53x = 170 + 0
100 + 53x = 170

Add '-100' to each side of the equation.
100 + -100 + 53x = 170 + -100

Combine like terms: 100 + -100 = 0
0 + 53x = 170 + -100
53x = 170 + -100

Combine like terms: 170 + -100 = 70
53x = 70

Divide each side by '53'.
x = 1.320754717

Simplifying
x = 1.320754717

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