x-3=2-(5x+6)

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Solution for x-3=2-(5x+6) equation:


Simplifying
x + -3 = 2 + -1(5x + 6)

Reorder the terms:
-3 + x = 2 + -1(5x + 6)

Reorder the terms:
-3 + x = 2 + -1(6 + 5x)
-3 + x = 2 + (6 * -1 + 5x * -1)
-3 + x = 2 + (-6 + -5x)

Combine like terms: 2 + -6 = -4
-3 + x = -4 + -5x

Solving
-3 + x = -4 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-3 + x + 5x = -4 + -5x + 5x

Combine like terms: x + 5x = 6x
-3 + 6x = -4 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 6x = -4 + 0
-3 + 6x = -4

Add '3' to each side of the equation.
-3 + 3 + 6x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -4 + 3
6x = -4 + 3

Combine like terms: -4 + 3 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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