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 = 19
19 + 3 + 6x + -5x + 16x + -1x = 0

Combine like terms: 19 + 3 = 22
22 + 6x + -5x + 16x + -1x = 0

Combine like terms: 6x + -5x = 1x
22 + 1x + 16x + -1x = 0

Combine like terms: 1x + 16x = 17x
22 + 17x + -1x = 0

Combine like terms: 17x + -1x = 16x
22 + 16x = 0

Solving
22 + 16x = 0

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 16x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 16x = 0 + -22
16x = 0 + -22

Combine like terms: 0 + -22 = -22
16x = -22

Divide each side by '16'.
x = -1.375

Simplifying
x = -1.375

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