x-(5+3x-(5x-(6+x)))=3

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Solution for x-(5+3x-(5x-(6+x)))=3 equation:


Simplifying
x + -1(5 + 3x + -1(5x + -1(6 + x))) = 3
x + -1(5 + 3x + -1(5x + (6 * -1 + x * -1))) = 3
x + -1(5 + 3x + -1(5x + (-6 + -1x))) = 3

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

Combine like terms: 5x + -1x = 4x
x + -1(5 + 3x + -1(-6 + 4x)) = 3
x + -1(5 + 3x + (-6 * -1 + 4x * -1)) = 3
x + -1(5 + 3x + (6 + -4x)) = 3

Reorder the terms:
x + -1(5 + 6 + 3x + -4x) = 3

Combine like terms: 5 + 6 = 11
x + -1(11 + 3x + -4x) = 3

Combine like terms: 3x + -4x = -1x
x + -1(11 + -1x) = 3
x + (11 * -1 + -1x * -1) = 3
x + (-11 + 1x) = 3

Reorder the terms:
-11 + x + 1x = 3

Combine like terms: x + 1x = 2x
-11 + 2x = 3

Solving
-11 + 2x = 3

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 2x = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 3 + 11
2x = 3 + 11

Combine like terms: 3 + 11 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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