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

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


Simplifying
-4(3 + -1x) + -1(-3 + -5x) = 2(-1x + -3x + -1)
(3 * -4 + -1x * -4) + -1(-3 + -5x) = 2(-1x + -3x + -1)
(-12 + 4x) + -1(-3 + -5x) = 2(-1x + -3x + -1)
-12 + 4x + (-3 * -1 + -5x * -1) = 2(-1x + -3x + -1)
-12 + 4x + (3 + 5x) = 2(-1x + -3x + -1)

Reorder the terms:
-12 + 3 + 4x + 5x = 2(-1x + -3x + -1)

Combine like terms: -12 + 3 = -9
-9 + 4x + 5x = 2(-1x + -3x + -1)

Combine like terms: 4x + 5x = 9x
-9 + 9x = 2(-1x + -3x + -1)

Reorder the terms:
-9 + 9x = 2(-1 + -1x + -3x)

Combine like terms: -1x + -3x = -4x
-9 + 9x = 2(-1 + -4x)
-9 + 9x = (-1 * 2 + -4x * 2)
-9 + 9x = (-2 + -8x)

Solving
-9 + 9x = -2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-9 + 9x + 8x = -2 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-9 + 17x = -2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-9 + 17x = -2 + 0
-9 + 17x = -2

Add '9' to each side of the equation.
-9 + 9 + 17x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + 17x = -2 + 9
17x = -2 + 9

Combine like terms: -2 + 9 = 7
17x = 7

Divide each side by '17'.
x = 0.4117647059

Simplifying
x = 0.4117647059

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