-3x+6-5(x-1)=-(2x+4)

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Solution for -3x+6-5(x-1)=-(2x+4) equation:


Simplifying
-3x + 6 + -5(x + -1) = -1(2x + 4)

Reorder the terms:
-3x + 6 + -5(-1 + x) = -1(2x + 4)
-3x + 6 + (-1 * -5 + x * -5) = -1(2x + 4)
-3x + 6 + (5 + -5x) = -1(2x + 4)

Reorder the terms:
6 + 5 + -3x + -5x = -1(2x + 4)

Combine like terms: 6 + 5 = 11
11 + -3x + -5x = -1(2x + 4)

Combine like terms: -3x + -5x = -8x
11 + -8x = -1(2x + 4)

Reorder the terms:
11 + -8x = -1(4 + 2x)
11 + -8x = (4 * -1 + 2x * -1)
11 + -8x = (-4 + -2x)

Solving
11 + -8x = -4 + -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.
11 + -8x + 2x = -4 + -2x + 2x

Combine like terms: -8x + 2x = -6x
11 + -6x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + -6x = -4 + 0
11 + -6x = -4

Add '-11' to each side of the equation.
11 + -11 + -6x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -4 + -11
-6x = -4 + -11

Combine like terms: -4 + -11 = -15
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

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