5-5(x-6)=x+10-9x

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Solution for 5-5(x-6)=x+10-9x equation: 


Simplifying
5 + -5(x + -6) = x + 10 + -9x

Reorder the terms:
5 + -5(-6 + x) = x + 10 + -9x
5 + (-6 * -5 + x * -5) = x + 10 + -9x
5 + (30 + -5x) = x + 10 + -9x

Combine like terms: 5 + 30 = 35
35 + -5x = x + 10 + -9x

Reorder the terms:
35 + -5x = 10 + x + -9x

Combine like terms: x + -9x = -8x
35 + -5x = 10 + -8x

Solving
35 + -5x = 10 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
35 + -5x + 8x = 10 + -8x + 8x

Combine like terms: -5x + 8x = 3x
35 + 3x = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
35 + 3x = 10 + 0
35 + 3x = 10

Add '-35' to each side of the equation.
35 + -35 + 3x = 10 + -35

Combine like terms: 35 + -35 = 0
0 + 3x = 10 + -35
3x = 10 + -35

Combine like terms: 10 + -35 = -25
3x = -25

Divide each side by '3'.
x = -8.333333333

Simplifying
x = -8.333333333

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