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

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


Simplifying
x + -6(x + -2) = 9 + -1(3x + 5)

Reorder the terms:
x + -6(-2 + x) = 9 + -1(3x + 5)
x + (-2 * -6 + x * -6) = 9 + -1(3x + 5)
x + (12 + -6x) = 9 + -1(3x + 5)

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

Combine like terms: x + -6x = -5x
12 + -5x = 9 + -1(3x + 5)

Reorder the terms:
12 + -5x = 9 + -1(5 + 3x)
12 + -5x = 9 + (5 * -1 + 3x * -1)
12 + -5x = 9 + (-5 + -3x)

Combine like terms: 9 + -5 = 4
12 + -5x = 4 + -3x

Solving
12 + -5x = 4 + -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.
12 + -5x + 3x = 4 + -3x + 3x

Combine like terms: -5x + 3x = -2x
12 + -2x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + -2x = 4 + 0
12 + -2x = 4

Add '-12' to each side of the equation.
12 + -12 + -2x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 4 + -12
-2x = 4 + -12

Combine like terms: 4 + -12 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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