-(3x-4)-(9x-4)+3=-9(x-3)-(7x+6)+8

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Solution for -(3x-4)-(9x-4)+3=-9(x-3)-(7x+6)+8 equation: 


Simplifying
-1(3x + -4) + -1(9x + -4) + 3 = -9(x + -3) + -1(7x + 6) + 8

Reorder the terms:
-1(-4 + 3x) + -1(9x + -4) + 3 = -9(x + -3) + -1(7x + 6) + 8
(-4 * -1 + 3x * -1) + -1(9x + -4) + 3 = -9(x + -3) + -1(7x + 6) + 8
(4 + -3x) + -1(9x + -4) + 3 = -9(x + -3) + -1(7x + 6) + 8

Reorder the terms:
4 + -3x + -1(-4 + 9x) + 3 = -9(x + -3) + -1(7x + 6) + 8
4 + -3x + (-4 * -1 + 9x * -1) + 3 = -9(x + -3) + -1(7x + 6) + 8
4 + -3x + (4 + -9x) + 3 = -9(x + -3) + -1(7x + 6) + 8

Reorder the terms:
4 + 4 + 3 + -3x + -9x = -9(x + -3) + -1(7x + 6) + 8

Combine like terms: 4 + 4 = 8
8 + 3 + -3x + -9x = -9(x + -3) + -1(7x + 6) + 8

Combine like terms: 8 + 3 = 11
11 + -3x + -9x = -9(x + -3) + -1(7x + 6) + 8

Combine like terms: -3x + -9x = -12x
11 + -12x = -9(x + -3) + -1(7x + 6) + 8

Reorder the terms:
11 + -12x = -9(-3 + x) + -1(7x + 6) + 8
11 + -12x = (-3 * -9 + x * -9) + -1(7x + 6) + 8
11 + -12x = (27 + -9x) + -1(7x + 6) + 8

Reorder the terms:
11 + -12x = 27 + -9x + -1(6 + 7x) + 8
11 + -12x = 27 + -9x + (6 * -1 + 7x * -1) + 8
11 + -12x = 27 + -9x + (-6 + -7x) + 8

Reorder the terms:
11 + -12x = 27 + -6 + 8 + -9x + -7x

Combine like terms: 27 + -6 = 21
11 + -12x = 21 + 8 + -9x + -7x

Combine like terms: 21 + 8 = 29
11 + -12x = 29 + -9x + -7x

Combine like terms: -9x + -7x = -16x
11 + -12x = 29 + -16x

Solving
11 + -12x = 29 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
11 + -12x + 16x = 29 + -16x + 16x

Combine like terms: -12x + 16x = 4x
11 + 4x = 29 + -16x + 16x

Combine like terms: -16x + 16x = 0
11 + 4x = 29 + 0
11 + 4x = 29

Add '-11' to each side of the equation.
11 + -11 + 4x = 29 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 29 + -11
4x = 29 + -11

Combine like terms: 29 + -11 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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