2x-5(x-3)=-6+3x+9

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Solution for 2x-5(x-3)=-6+3x+9 equation: 


Simplifying
2x + -5(x + -3) = -6 + 3x + 9

Reorder the terms:
2x + -5(-3 + x) = -6 + 3x + 9
2x + (-3 * -5 + x * -5) = -6 + 3x + 9
2x + (15 + -5x) = -6 + 3x + 9

Reorder the terms:
15 + 2x + -5x = -6 + 3x + 9

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

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

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

Solving
15 + -3x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -3x + -3x = 3 + 3x + -3x

Combine like terms: -3x + -3x = -6x
15 + -6x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -6x = 3 + 0
15 + -6x = 3

Add '-15' to each side of the equation.
15 + -15 + -6x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 3 + -15
-6x = 3 + -15

Combine like terms: 3 + -15 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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