x+(x-10)(.33333(.7))=15.8

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Solution for x+(x-10)(.33333(.7))=15.8 equation: 


Simplifying
x + (x + -10)(0.33333(0.7)) = 15.8

Reorder the terms:
x + (-10 + x)(0.33333(0.7)) = 15.8

Multiply 0.33333 * 0.7
x + (-10 + x)(0.233331) = 15.8

Reorder the terms for easier multiplication:
x + 0.233331(-10 + x) = 15.8
x + (-10 * 0.233331 + x * 0.233331) = 15.8
x + (-2.33331 + 0.233331x) = 15.8

Reorder the terms:
-2.33331 + x + 0.233331x = 15.8

Combine like terms: x + 0.233331x = 1.233331x
-2.33331 + 1.233331x = 15.8

Solving
-2.33331 + 1.233331x = 15.8

Solving for variable 'x'.

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

Add '2.33331' to each side of the equation.
-2.33331 + 2.33331 + 1.233331x = 15.8 + 2.33331

Combine like terms: -2.33331 + 2.33331 = 0.00000
0.00000 + 1.233331x = 15.8 + 2.33331
1.233331x = 15.8 + 2.33331

Combine like terms: 15.8 + 2.33331 = 18.13331
1.233331x = 18.13331

Divide each side by '1.233331'.
x = 14.7027116

Simplifying
x = 14.7027116

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