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

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


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

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

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

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

Reorder the terms:
-1 + -1x = 8 + -3(3 + 3x)
-1 + -1x = 8 + (3 * -3 + 3x * -3)
-1 + -1x = 8 + (-9 + -9x)

Combine like terms: 8 + -9 = -1
-1 + -1x = -1 + -9x

Add '1' to each side of the equation.
-1 + 1 + -1x = -1 + 1 + -9x

Combine like terms: -1 + 1 = 0
0 + -1x = -1 + 1 + -9x
-1x = -1 + 1 + -9x

Combine like terms: -1 + 1 = 0
-1x = 0 + -9x
-1x = -9x

Solving
-1x = -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-1x + 9x = -9x + 9x

Combine like terms: -1x + 9x = 8x
8x = -9x + 9x

Combine like terms: -9x + 9x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0

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