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

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Solution for -2x-(5x+3)-6=-2(x-1) equation:


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

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

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

Combine like terms: -3 + -6 = -9
-9 + -2x + -5x = -2(x + -1)

Combine like terms: -2x + -5x = -7x
-9 + -7x = -2(x + -1)

Reorder the terms:
-9 + -7x = -2(-1 + x)
-9 + -7x = (-1 * -2 + x * -2)
-9 + -7x = (2 + -2x)

Solving
-9 + -7x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + -7x + 2x = 2 + -2x + 2x

Combine like terms: -7x + 2x = -5x
-9 + -5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + -5x = 2 + 0
-9 + -5x = 2

Add '9' to each side of the equation.
-9 + 9 + -5x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 2 + 9
-5x = 2 + 9

Combine like terms: 2 + 9 = 11
-5x = 11

Divide each side by '-5'.
x = -2.2

Simplifying
x = -2.2

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