-3(2x+7)+(-5x-6)-8(1-2x)-(x-3)=0

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Solution for -3(2x+7)+(-5x-6)-8(1-2x)-(x-3)=0 equation: 


Simplifying
-3(2x + 7) + (-5x + -6) + -8(1 + -2x) + -1(x + -3) = 0

Reorder the terms:
-3(7 + 2x) + (-5x + -6) + -8(1 + -2x) + -1(x + -3) = 0
(7 * -3 + 2x * -3) + (-5x + -6) + -8(1 + -2x) + -1(x + -3) = 0
(-21 + -6x) + (-5x + -6) + -8(1 + -2x) + -1(x + -3) = 0

Reorder the terms:
-21 + -6x + (-6 + -5x) + -8(1 + -2x) + -1(x + -3) = 0

Remove parenthesis around (-6 + -5x)
-21 + -6x + -6 + -5x + -8(1 + -2x) + -1(x + -3) = 0
-21 + -6x + -6 + -5x + (1 * -8 + -2x * -8) + -1(x + -3) = 0
-21 + -6x + -6 + -5x + (-8 + 16x) + -1(x + -3) = 0

Reorder the terms:
-21 + -6x + -6 + -5x + -8 + 16x + -1(-3 + x) = 0
-21 + -6x + -6 + -5x + -8 + 16x + (-3 * -1 + x * -1) = 0
-21 + -6x + -6 + -5x + -8 + 16x + (3 + -1x) = 0

Reorder the terms:
-21 + -6 + -8 + 3 + -6x + -5x + 16x + -1x = 0

Combine like terms: -21 + -6 = -27
-27 + -8 + 3 + -6x + -5x + 16x + -1x = 0

Combine like terms: -27 + -8 = -35
-35 + 3 + -6x + -5x + 16x + -1x = 0

Combine like terms: -35 + 3 = -32
-32 + -6x + -5x + 16x + -1x = 0

Combine like terms: -6x + -5x = -11x
-32 + -11x + 16x + -1x = 0

Combine like terms: -11x + 16x = 5x
-32 + 5x + -1x = 0

Combine like terms: 5x + -1x = 4x
-32 + 4x = 0

Solving
-32 + 4x = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 4x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 4x = 0 + 32
4x = 0 + 32

Combine like terms: 0 + 32 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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