9.1(1-x)+5x=42(x-8)

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Solution for 9.1(1-x)+5x=42(x-8) equation: 


Simplifying
9.1(1 + -1x) + 5x = 42(x + -8)
(1 * 9.1 + -1x * 9.1) + 5x = 42(x + -8)
(9.1 + -9.1x) + 5x = 42(x + -8)

Combine like terms: -9.1x + 5x = -4.1x
9.1 + -4.1x = 42(x + -8)

Reorder the terms:
9.1 + -4.1x = 42(-8 + x)
9.1 + -4.1x = (-8 * 42 + x * 42)
9.1 + -4.1x = (-336 + 42x)

Solving
9.1 + -4.1x = -336 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
9.1 + -4.1x + -42x = -336 + 42x + -42x

Combine like terms: -4.1x + -42x = -46.1x
9.1 + -46.1x = -336 + 42x + -42x

Combine like terms: 42x + -42x = 0
9.1 + -46.1x = -336 + 0
9.1 + -46.1x = -336

Add '-9.1' to each side of the equation.
9.1 + -9.1 + -46.1x = -336 + -9.1

Combine like terms: 9.1 + -9.1 = 0.0
0.0 + -46.1x = -336 + -9.1
-46.1x = -336 + -9.1

Combine like terms: -336 + -9.1 = -345.1
-46.1x = -345.1

Divide each side by '-46.1'.
x = 7.485900217

Simplifying
x = 7.485900217

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