0.5(7-5x)=6-(2x+8)

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Solution for 0.5(7-5x)=6-(2x+8) equation: 


Simplifying
0.5(7 + -5x) = 6 + -1(2x + 8)
(7 * 0.5 + -5x * 0.5) = 6 + -1(2x + 8)
(3.5 + -2.5x) = 6 + -1(2x + 8)

Reorder the terms:
3.5 + -2.5x = 6 + -1(8 + 2x)
3.5 + -2.5x = 6 + (8 * -1 + 2x * -1)
3.5 + -2.5x = 6 + (-8 + -2x)

Combine like terms: 6 + -8 = -2
3.5 + -2.5x = -2 + -2x

Solving
3.5 + -2.5x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3.5 + -2.5x + 2x = -2 + -2x + 2x

Combine like terms: -2.5x + 2x = -0.5x
3.5 + -0.5x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
3.5 + -0.5x = -2 + 0
3.5 + -0.5x = -2

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -0.5x = -2 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -0.5x = -2 + -3.5
-0.5x = -2 + -3.5

Combine like terms: -2 + -3.5 = -5.5
-0.5x = -5.5

Divide each side by '-0.5'.
x = 11

Simplifying
x = 11

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