-(5x-2)-(2x-4)+3=-9(x-2)-(3x+2)+8

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Solution for -(5x-2)-(2x-4)+3=-9(x-2)-(3x+2)+8 equation: 


Simplifying
-1(5x + -2) + -1(2x + -4) + 3 = -9(x + -2) + -1(3x + 2) + 8

Reorder the terms:
-1(-2 + 5x) + -1(2x + -4) + 3 = -9(x + -2) + -1(3x + 2) + 8
(-2 * -1 + 5x * -1) + -1(2x + -4) + 3 = -9(x + -2) + -1(3x + 2) + 8
(2 + -5x) + -1(2x + -4) + 3 = -9(x + -2) + -1(3x + 2) + 8

Reorder the terms:
2 + -5x + -1(-4 + 2x) + 3 = -9(x + -2) + -1(3x + 2) + 8
2 + -5x + (-4 * -1 + 2x * -1) + 3 = -9(x + -2) + -1(3x + 2) + 8
2 + -5x + (4 + -2x) + 3 = -9(x + -2) + -1(3x + 2) + 8

Reorder the terms:
2 + 4 + 3 + -5x + -2x = -9(x + -2) + -1(3x + 2) + 8

Combine like terms: 2 + 4 = 6
6 + 3 + -5x + -2x = -9(x + -2) + -1(3x + 2) + 8

Combine like terms: 6 + 3 = 9
9 + -5x + -2x = -9(x + -2) + -1(3x + 2) + 8

Combine like terms: -5x + -2x = -7x
9 + -7x = -9(x + -2) + -1(3x + 2) + 8

Reorder the terms:
9 + -7x = -9(-2 + x) + -1(3x + 2) + 8
9 + -7x = (-2 * -9 + x * -9) + -1(3x + 2) + 8
9 + -7x = (18 + -9x) + -1(3x + 2) + 8

Reorder the terms:
9 + -7x = 18 + -9x + -1(2 + 3x) + 8
9 + -7x = 18 + -9x + (2 * -1 + 3x * -1) + 8
9 + -7x = 18 + -9x + (-2 + -3x) + 8

Reorder the terms:
9 + -7x = 18 + -2 + 8 + -9x + -3x

Combine like terms: 18 + -2 = 16
9 + -7x = 16 + 8 + -9x + -3x

Combine like terms: 16 + 8 = 24
9 + -7x = 24 + -9x + -3x

Combine like terms: -9x + -3x = -12x
9 + -7x = 24 + -12x

Solving
9 + -7x = 24 + -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.
9 + -7x + 12x = 24 + -12x + 12x

Combine like terms: -7x + 12x = 5x
9 + 5x = 24 + -12x + 12x

Combine like terms: -12x + 12x = 0
9 + 5x = 24 + 0
9 + 5x = 24

Add '-9' to each side of the equation.
9 + -9 + 5x = 24 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 24 + -9
5x = 24 + -9

Combine like terms: 24 + -9 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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