6.8=7.13x+8.96(1-x)

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Solution for 6.8=7.13x+8.96(1-x) equation: 


Simplifying
6.8 = 7.13x + 8.96(1 + -1x)
6.8 = 7.13x + (1 * 8.96 + -1x * 8.96)
6.8 = 7.13x + (8.96 + -8.96x)

Reorder the terms:
6.8 = 8.96 + 7.13x + -8.96x

Combine like terms: 7.13x + -8.96x = -1.83x
6.8 = 8.96 + -1.83x

Solving
6.8 = 8.96 + -1.83x

Solving for variable 'x'.

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

Add '1.83x' to each side of the equation.
6.8 + 1.83x = 8.96 + -1.83x + 1.83x

Combine like terms: -1.83x + 1.83x = 0.00
6.8 + 1.83x = 8.96 + 0.00
6.8 + 1.83x = 8.96

Add '-6.8' to each side of the equation.
6.8 + -6.8 + 1.83x = 8.96 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 1.83x = 8.96 + -6.8
1.83x = 8.96 + -6.8

Combine like terms: 8.96 + -6.8 = 2.16
1.83x = 2.16

Divide each side by '1.83'.
x = 1.180327869

Simplifying
x = 1.180327869

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