3x-5(x-3)=-9+4x-6

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Solution for 3x-5(x-3)=-9+4x-6 equation: 


Simplifying
3x + -5(x + -3) = -9 + 4x + -6

Reorder the terms:
3x + -5(-3 + x) = -9 + 4x + -6
3x + (-3 * -5 + x * -5) = -9 + 4x + -6
3x + (15 + -5x) = -9 + 4x + -6

Reorder the terms:
15 + 3x + -5x = -9 + 4x + -6

Combine like terms: 3x + -5x = -2x
15 + -2x = -9 + 4x + -6

Reorder the terms:
15 + -2x = -9 + -6 + 4x

Combine like terms: -9 + -6 = -15
15 + -2x = -15 + 4x

Solving
15 + -2x = -15 + 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.
15 + -2x + -4x = -15 + 4x + -4x

Combine like terms: -2x + -4x = -6x
15 + -6x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -6x = -15 + 0
15 + -6x = -15

Add '-15' to each side of the equation.
15 + -15 + -6x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -15 + -15
-6x = -15 + -15

Combine like terms: -15 + -15 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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