9+6(-5x+7)=-6(-x-2)+8

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Solution for 9+6(-5x+7)=-6(-x-2)+8 equation: 


Simplifying
9 + 6(-5x + 7) = -6(-1x + -2) + 8

Reorder the terms:
9 + 6(7 + -5x) = -6(-1x + -2) + 8
9 + (7 * 6 + -5x * 6) = -6(-1x + -2) + 8
9 + (42 + -30x) = -6(-1x + -2) + 8

Combine like terms: 9 + 42 = 51
51 + -30x = -6(-1x + -2) + 8

Reorder the terms:
51 + -30x = -6(-2 + -1x) + 8
51 + -30x = (-2 * -6 + -1x * -6) + 8
51 + -30x = (12 + 6x) + 8

Reorder the terms:
51 + -30x = 12 + 8 + 6x

Combine like terms: 12 + 8 = 20
51 + -30x = 20 + 6x

Solving
51 + -30x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
51 + -30x + -6x = 20 + 6x + -6x

Combine like terms: -30x + -6x = -36x
51 + -36x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
51 + -36x = 20 + 0
51 + -36x = 20

Add '-51' to each side of the equation.
51 + -51 + -36x = 20 + -51

Combine like terms: 51 + -51 = 0
0 + -36x = 20 + -51
-36x = 20 + -51

Combine like terms: 20 + -51 = -31
-36x = -31

Divide each side by '-36'.
x = 0.8611111111

Simplifying
x = 0.8611111111

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