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

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Solution for 5-(x+1)-3=3x-(2x+3)-x equation:


Simplifying
5 + -1(x + 1) + -3 = 3x + -1(2x + 3) + -1x

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

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

Combine like terms: 5 + -1 = 4
4 + -3 + -1x = 3x + -1(2x + 3) + -1x

Combine like terms: 4 + -3 = 1
1 + -1x = 3x + -1(2x + 3) + -1x

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

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

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

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

Solving
1 + -1x = -3

Solving for variable 'x'.

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

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

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

Combine like terms: -3 + -1 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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