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

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


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

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

Remove parenthesis around (-9 + 5x)
-9 + 5x + -1(6x + -3) = -1(-3 + x) + -3x + 9

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

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

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

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

Reorder the terms:
-6 + -1x = 3 + 9 + -1x + -3x

Combine like terms: 3 + 9 = 12
-6 + -1x = 12 + -1x + -3x

Combine like terms: -1x + -3x = -4x
-6 + -1x = 12 + -4x

Solving
-6 + -1x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + -1x + 4x = 12 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-6 + 3x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 3x = 12 + 0
-6 + 3x = 12

Add '6' to each side of the equation.
-6 + 6 + 3x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 12 + 6
3x = 12 + 6

Combine like terms: 12 + 6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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