-15=-6(x-2)+(x-6)

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Solution for -15=-6(x-2)+(x-6) equation:


Simplifying
-15 = -6(x + -2) + (x + -6)

Reorder the terms:
-15 = -6(-2 + x) + (x + -6)
-15 = (-2 * -6 + x * -6) + (x + -6)
-15 = (12 + -6x) + (x + -6)

Reorder the terms:
-15 = 12 + -6x + (-6 + x)

Remove parenthesis around (-6 + x)
-15 = 12 + -6x + -6 + x

Reorder the terms:
-15 = 12 + -6 + -6x + x

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

Combine like terms: -6x + x = -5x
-15 = 6 + -5x

Solving
-15 = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-15 + 5x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-15 + 5x = 6 + 0
-15 + 5x = 6

Add '15' to each side of the equation.
-15 + 15 + 5x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 6 + 15
5x = 6 + 15

Combine like terms: 6 + 15 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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