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

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


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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
-1 + 2x = 5 + 0
-1 + 2x = 5

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

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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