0.5(5-5x)=8-4x+6

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Solution for 0.5(5-5x)=8-4x+6 equation: 


Simplifying
0.5(5 + -5x) = 8 + -4x + 6
(5 * 0.5 + -5x * 0.5) = 8 + -4x + 6
(2.5 + -2.5x) = 8 + -4x + 6

Reorder the terms:
2.5 + -2.5x = 8 + 6 + -4x

Combine like terms: 8 + 6 = 14
2.5 + -2.5x = 14 + -4x

Solving
2.5 + -2.5x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2.5 + -2.5x + 4x = 14 + -4x + 4x

Combine like terms: -2.5x + 4x = 1.5x
2.5 + 1.5x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
2.5 + 1.5x = 14 + 0
2.5 + 1.5x = 14

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 1.5x = 14 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1.5x = 14 + -2.5
1.5x = 14 + -2.5

Combine like terms: 14 + -2.5 = 11.5
1.5x = 11.5

Divide each side by '1.5'.
x = 7.666666667

Simplifying
x = 7.666666667

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