0.5(5-7x)-8=(4x+6)

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Solution for 0.5(5-7x)-8=(4x+6) equation: 


Simplifying
0.5(5 + -7x) + -8 = (4x + 6)
(5 * 0.5 + -7x * 0.5) + -8 = (4x + 6)
(2.5 + -3.5x) + -8 = (4x + 6)

Reorder the terms:
2.5 + -8 + -3.5x = (4x + 6)

Combine like terms: 2.5 + -8 = -5.5
-5.5 + -3.5x = (4x + 6)

Reorder the terms:
-5.5 + -3.5x = (6 + 4x)

Remove parenthesis around (6 + 4x)
-5.5 + -3.5x = 6 + 4x

Solving
-5.5 + -3.5x = 6 + 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.
-5.5 + -3.5x + -4x = 6 + 4x + -4x

Combine like terms: -3.5x + -4x = -7.5x
-5.5 + -7.5x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5.5 + -7.5x = 6 + 0
-5.5 + -7.5x = 6

Add '5.5' to each side of the equation.
-5.5 + 5.5 + -7.5x = 6 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + -7.5x = 6 + 5.5
-7.5x = 6 + 5.5

Combine like terms: 6 + 5.5 = 11.5
-7.5x = 11.5

Divide each side by '-7.5'.
x = -1.533333333

Simplifying
x = -1.533333333

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