-(5x-3)-(3x-6)+10=-9(x-1)-(3x+9)+3

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Solution for -(5x-3)-(3x-6)+10=-9(x-1)-(3x+9)+3 equation:


Simplifying
-1(5x + -3) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3

Reorder the terms:
-1(-3 + 5x) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3
(-3 * -1 + 5x * -1) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3
(3 + -5x) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3

Reorder the terms:
3 + -5x + -1(-6 + 3x) + 10 = -9(x + -1) + -1(3x + 9) + 3
3 + -5x + (-6 * -1 + 3x * -1) + 10 = -9(x + -1) + -1(3x + 9) + 3
3 + -5x + (6 + -3x) + 10 = -9(x + -1) + -1(3x + 9) + 3

Reorder the terms:
3 + 6 + 10 + -5x + -3x = -9(x + -1) + -1(3x + 9) + 3

Combine like terms: 3 + 6 = 9
9 + 10 + -5x + -3x = -9(x + -1) + -1(3x + 9) + 3

Combine like terms: 9 + 10 = 19
19 + -5x + -3x = -9(x + -1) + -1(3x + 9) + 3

Combine like terms: -5x + -3x = -8x
19 + -8x = -9(x + -1) + -1(3x + 9) + 3

Reorder the terms:
19 + -8x = -9(-1 + x) + -1(3x + 9) + 3
19 + -8x = (-1 * -9 + x * -9) + -1(3x + 9) + 3
19 + -8x = (9 + -9x) + -1(3x + 9) + 3

Reorder the terms:
19 + -8x = 9 + -9x + -1(9 + 3x) + 3
19 + -8x = 9 + -9x + (9 * -1 + 3x * -1) + 3
19 + -8x = 9 + -9x + (-9 + -3x) + 3

Reorder the terms:
19 + -8x = 9 + -9 + 3 + -9x + -3x

Combine like terms: 9 + -9 = 0
19 + -8x = 0 + 3 + -9x + -3x
19 + -8x = 3 + -9x + -3x

Combine like terms: -9x + -3x = -12x
19 + -8x = 3 + -12x

Solving
19 + -8x = 3 + -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.
19 + -8x + 12x = 3 + -12x + 12x

Combine like terms: -8x + 12x = 4x
19 + 4x = 3 + -12x + 12x

Combine like terms: -12x + 12x = 0
19 + 4x = 3 + 0
19 + 4x = 3

Add '-19' to each side of the equation.
19 + -19 + 4x = 3 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 3 + -19
4x = 3 + -19

Combine like terms: 3 + -19 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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