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

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Solution for .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 + -3.5x = 8 + (6 + 4x)

Remove parenthesis around (6 + 4x)
2.5 + -3.5x = 8 + 6 + 4x

Combine like terms: 8 + 6 = 14
2.5 + -3.5x = 14 + 4x

Solving
2.5 + -3.5x = 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 + -3.5x + -4x = 14 + 4x + -4x

Combine like terms: -3.5x + -4x = -7.5x
2.5 + -7.5x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
2.5 + -7.5x = 14 + 0
2.5 + -7.5x = 14

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -7.5x = 14 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -7.5x = 14 + -2.5
-7.5x = 14 + -2.5

Combine like terms: 14 + -2.5 = 11.5
-7.5x = 11.5

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

Simplifying
x = -1.533333333

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