9.1(1-x)+5x=4.2(x-8)

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Solution for 9.1(1-x)+5x=4.2(x-8) equation: 


Simplifying
9.1(1 + -1x) + 5x = 4.2(x + -8)
(1 * 9.1 + -1x * 9.1) + 5x = 4.2(x + -8)
(9.1 + -9.1x) + 5x = 4.2(x + -8)

Combine like terms: -9.1x + 5x = -4.1x
9.1 + -4.1x = 4.2(x + -8)

Reorder the terms:
9.1 + -4.1x = 4.2(-8 + x)
9.1 + -4.1x = (-8 * 4.2 + x * 4.2)
9.1 + -4.1x = (-33.6 + 4.2x)

Solving
9.1 + -4.1x = -33.6 + 4.2x

Solving for variable 'x'.

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

Add '-4.2x' to each side of the equation.
9.1 + -4.1x + -4.2x = -33.6 + 4.2x + -4.2x

Combine like terms: -4.1x + -4.2x = -8.3x
9.1 + -8.3x = -33.6 + 4.2x + -4.2x

Combine like terms: 4.2x + -4.2x = 0.0
9.1 + -8.3x = -33.6 + 0.0
9.1 + -8.3x = -33.6

Add '-9.1' to each side of the equation.
9.1 + -9.1 + -8.3x = -33.6 + -9.1

Combine like terms: 9.1 + -9.1 = 0.0
0.0 + -8.3x = -33.6 + -9.1
-8.3x = -33.6 + -9.1

Combine like terms: -33.6 + -9.1 = -42.7
-8.3x = -42.7

Divide each side by '-8.3'.
x = 5.144578313

Simplifying
x = 5.144578313

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