-2x-5=2-4x-1(x-1)

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Solution for -2x-5=2-4x-1(x-1) equation:


Simplifying
-2x + -5 = 2 + -4x + -1(x + -1)

Reorder the terms:
-5 + -2x = 2 + -4x + -1(x + -1)

Reorder the terms:
-5 + -2x = 2 + -4x + -1(-1 + x)
-5 + -2x = 2 + -4x + (-1 * -1 + x * -1)
-5 + -2x = 2 + -4x + (1 + -1x)

Reorder the terms:
-5 + -2x = 2 + 1 + -4x + -1x

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

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

Solving
-5 + -2x = 3 + -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.
-5 + -2x + 5x = 3 + -5x + 5x

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

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

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

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

Combine like terms: 3 + 5 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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