6+.3(x-9)=.5(2-x)-8

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Solution for 6+.3(x-9)=.5(2-x)-8 equation: 


Simplifying
6 + 0.3(x + -9) = 0.5(2 + -1x) + -8

Reorder the terms:
6 + 0.3(-9 + x) = 0.5(2 + -1x) + -8
6 + (-9 * 0.3 + x * 0.3) = 0.5(2 + -1x) + -8
6 + (-2.7 + 0.3x) = 0.5(2 + -1x) + -8

Combine like terms: 6 + -2.7 = 3.3
3.3 + 0.3x = 0.5(2 + -1x) + -8
3.3 + 0.3x = (2 * 0.5 + -1x * 0.5) + -8
3.3 + 0.3x = (1 + -0.5x) + -8

Reorder the terms:
3.3 + 0.3x = 1 + -8 + -0.5x

Combine like terms: 1 + -8 = -7
3.3 + 0.3x = -7 + -0.5x

Solving
3.3 + 0.3x = -7 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
3.3 + 0.3x + 0.5x = -7 + -0.5x + 0.5x

Combine like terms: 0.3x + 0.5x = 0.8x
3.3 + 0.8x = -7 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
3.3 + 0.8x = -7 + 0.0
3.3 + 0.8x = -7

Add '-3.3' to each side of the equation.
3.3 + -3.3 + 0.8x = -7 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + 0.8x = -7 + -3.3
0.8x = -7 + -3.3

Combine like terms: -7 + -3.3 = -10.3
0.8x = -10.3

Divide each side by '0.8'.
x = -12.875

Simplifying
x = -12.875

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