8-(3x+3)=x-3(2x+1)

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Solution for 8-(3x+3)=x-3(2x+1) equation: 


Simplifying
8 + -1(3x + 3) = x + -3(2x + 1)

Reorder the terms:
8 + -1(3 + 3x) = x + -3(2x + 1)
8 + (3 * -1 + 3x * -1) = x + -3(2x + 1)
8 + (-3 + -3x) = x + -3(2x + 1)

Combine like terms: 8 + -3 = 5
5 + -3x = x + -3(2x + 1)

Reorder the terms:
5 + -3x = x + -3(1 + 2x)
5 + -3x = x + (1 * -3 + 2x * -3)
5 + -3x = x + (-3 + -6x)

Reorder the terms:
5 + -3x = -3 + x + -6x

Combine like terms: x + -6x = -5x
5 + -3x = -3 + -5x

Solving
5 + -3x = -3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5 + -3x + 5x = -3 + -5x + 5x

Combine like terms: -3x + 5x = 2x
5 + 2x = -3 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 2x = -3 + 0
5 + 2x = -3

Add '-5' to each side of the equation.
5 + -5 + 2x = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = -3 + -5
2x = -3 + -5

Combine like terms: -3 + -5 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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