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

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


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

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

Remove parenthesis around (-3x)
-1 * -3x = 2x + -5(x + 2)

Multiply -1 * -3
3x = 2x + -5(x + 2)

Reorder the terms:
3x = 2x + -5(2 + x)
3x = 2x + (2 * -5 + x * -5)
3x = 2x + (-10 + -5x)

Reorder the terms:
3x = -10 + 2x + -5x

Combine like terms: 2x + -5x = -3x
3x = -10 + -3x

Solving
3x = -10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
3x + 3x = -10 + -3x + 3x

Combine like terms: 3x + 3x = 6x
6x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
6x = -10 + 0
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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