-27=-5(x-3)+8(x-6)

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Solution for -27=-5(x-3)+8(x-6) equation:


Simplifying
-27 = -5(x + -3) + 8(x + -6)

Reorder the terms:
-27 = -5(-3 + x) + 8(x + -6)
-27 = (-3 * -5 + x * -5) + 8(x + -6)
-27 = (15 + -5x) + 8(x + -6)

Reorder the terms:
-27 = 15 + -5x + 8(-6 + x)
-27 = 15 + -5x + (-6 * 8 + x * 8)
-27 = 15 + -5x + (-48 + 8x)

Reorder the terms:
-27 = 15 + -48 + -5x + 8x

Combine like terms: 15 + -48 = -33
-27 = -33 + -5x + 8x

Combine like terms: -5x + 8x = 3x
-27 = -33 + 3x

Solving
-27 = -33 + 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.
-27 + -3x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + -3x = -33 + 0
-27 + -3x = -33

Add '27' to each side of the equation.
-27 + 27 + -3x = -33 + 27

Combine like terms: -27 + 27 = 0
0 + -3x = -33 + 27
-3x = -33 + 27

Combine like terms: -33 + 27 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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