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

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

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

Combine like terms: x + -3x = -2x
-11 + -2x + 5x + -1x = -3

Combine like terms: -2x + 5x = 3x
-11 + 3x + -1x = -3

Combine like terms: 3x + -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 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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