-(2x-8)-(8x-3)+3=-8(x-6)-(4x+6)+9

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Solution for -(2x-8)-(8x-3)+3=-8(x-6)-(4x+6)+9 equation:


Simplifying
-1(2x + -8) + -1(8x + -3) + 3 = -8(x + -6) + -1(4x + 6) + 9

Reorder the terms:
-1(-8 + 2x) + -1(8x + -3) + 3 = -8(x + -6) + -1(4x + 6) + 9
(-8 * -1 + 2x * -1) + -1(8x + -3) + 3 = -8(x + -6) + -1(4x + 6) + 9
(8 + -2x) + -1(8x + -3) + 3 = -8(x + -6) + -1(4x + 6) + 9

Reorder the terms:
8 + -2x + -1(-3 + 8x) + 3 = -8(x + -6) + -1(4x + 6) + 9
8 + -2x + (-3 * -1 + 8x * -1) + 3 = -8(x + -6) + -1(4x + 6) + 9
8 + -2x + (3 + -8x) + 3 = -8(x + -6) + -1(4x + 6) + 9

Reorder the terms:
8 + 3 + 3 + -2x + -8x = -8(x + -6) + -1(4x + 6) + 9

Combine like terms: 8 + 3 = 11
11 + 3 + -2x + -8x = -8(x + -6) + -1(4x + 6) + 9

Combine like terms: 11 + 3 = 14
14 + -2x + -8x = -8(x + -6) + -1(4x + 6) + 9

Combine like terms: -2x + -8x = -10x
14 + -10x = -8(x + -6) + -1(4x + 6) + 9

Reorder the terms:
14 + -10x = -8(-6 + x) + -1(4x + 6) + 9
14 + -10x = (-6 * -8 + x * -8) + -1(4x + 6) + 9
14 + -10x = (48 + -8x) + -1(4x + 6) + 9

Reorder the terms:
14 + -10x = 48 + -8x + -1(6 + 4x) + 9
14 + -10x = 48 + -8x + (6 * -1 + 4x * -1) + 9
14 + -10x = 48 + -8x + (-6 + -4x) + 9

Reorder the terms:
14 + -10x = 48 + -6 + 9 + -8x + -4x

Combine like terms: 48 + -6 = 42
14 + -10x = 42 + 9 + -8x + -4x

Combine like terms: 42 + 9 = 51
14 + -10x = 51 + -8x + -4x

Combine like terms: -8x + -4x = -12x
14 + -10x = 51 + -12x

Solving
14 + -10x = 51 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
14 + -10x + 12x = 51 + -12x + 12x

Combine like terms: -10x + 12x = 2x
14 + 2x = 51 + -12x + 12x

Combine like terms: -12x + 12x = 0
14 + 2x = 51 + 0
14 + 2x = 51

Add '-14' to each side of the equation.
14 + -14 + 2x = 51 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 51 + -14
2x = 51 + -14

Combine like terms: 51 + -14 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5

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