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

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


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

Reorder the terms:
-6 = -1(-5 + x) + -3(5 + 2x) + -4(2x + -4)
-6 = (-5 * -1 + x * -1) + -3(5 + 2x) + -4(2x + -4)
-6 = (5 + -1x) + -3(5 + 2x) + -4(2x + -4)
-6 = 5 + -1x + (5 * -3 + 2x * -3) + -4(2x + -4)
-6 = 5 + -1x + (-15 + -6x) + -4(2x + -4)

Reorder the terms:
-6 = 5 + -1x + -15 + -6x + -4(-4 + 2x)
-6 = 5 + -1x + -15 + -6x + (-4 * -4 + 2x * -4)
-6 = 5 + -1x + -15 + -6x + (16 + -8x)

Reorder the terms:
-6 = 5 + -15 + 16 + -1x + -6x + -8x

Combine like terms: 5 + -15 = -10
-6 = -10 + 16 + -1x + -6x + -8x

Combine like terms: -10 + 16 = 6
-6 = 6 + -1x + -6x + -8x

Combine like terms: -1x + -6x = -7x
-6 = 6 + -7x + -8x

Combine like terms: -7x + -8x = -15x
-6 = 6 + -15x

Solving
-6 = 6 + -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.
-6 + 15x = 6 + -15x + 15x

Combine like terms: -15x + 15x = 0
-6 + 15x = 6 + 0
-6 + 15x = 6

Add '6' to each side of the equation.
-6 + 6 + 15x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 6 + 6
15x = 6 + 6

Combine like terms: 6 + 6 = 12
15x = 12

Divide each side by '15'.
x = 0.8

Simplifying
x = 0.8

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