3x-5(x-3)=-5+4x-16

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Solution for 3x-5(x-3)=-5+4x-16 equation: 


Simplifying
3x + -5(x + -3) = -5 + 4x + -16

Reorder the terms:
3x + -5(-3 + x) = -5 + 4x + -16
3x + (-3 * -5 + x * -5) = -5 + 4x + -16
3x + (15 + -5x) = -5 + 4x + -16

Reorder the terms:
15 + 3x + -5x = -5 + 4x + -16

Combine like terms: 3x + -5x = -2x
15 + -2x = -5 + 4x + -16

Reorder the terms:
15 + -2x = -5 + -16 + 4x

Combine like terms: -5 + -16 = -21
15 + -2x = -21 + 4x

Solving
15 + -2x = -21 + 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 = -21 + 4x + -4x

Combine like terms: -2x + -4x = -6x
15 + -6x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -6x = -21 + 0
15 + -6x = -21

Add '-15' to each side of the equation.
15 + -15 + -6x = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -21 + -15
-6x = -21 + -15

Combine like terms: -21 + -15 = -36
-6x = -36

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

Simplifying
x = 6

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