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

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


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

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

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

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

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

Reorder the terms:
11 + -8x = -5x + -1(-4 + 2x) * 5

Reorder the terms for easier multiplication:
11 + -8x = -5x + -1 * 5(-4 + 2x)

Multiply -1 * 5
11 + -8x = -5x + -5(-4 + 2x)
11 + -8x = -5x + (-4 * -5 + 2x * -5)
11 + -8x = -5x + (20 + -10x)

Reorder the terms:
11 + -8x = 20 + -5x + -10x

Combine like terms: -5x + -10x = -15x
11 + -8x = 20 + -15x

Solving
11 + -8x = 20 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
11 + -8x + 15x = 20 + -15x + 15x

Combine like terms: -8x + 15x = 7x
11 + 7x = 20 + -15x + 15x

Combine like terms: -15x + 15x = 0
11 + 7x = 20 + 0
11 + 7x = 20

Add '-11' to each side of the equation.
11 + -11 + 7x = 20 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 20 + -11
7x = 20 + -11

Combine like terms: 20 + -11 = 9
7x = 9

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286

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