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

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


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

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

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

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

Reorder the terms:
5 + -3x = -1 + x + -2x

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

Solving
5 + -3x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + -3x + x = -1 + -1x + x

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

Combine like terms: -1x + x = 0
5 + -2x = -1 + 0
5 + -2x = -1

Add '-5' to each side of the equation.
5 + -5 + -2x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -1 + -5
-2x = -1 + -5

Combine like terms: -1 + -5 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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