-9x-3(5-6x)=4(x-2)-27

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Solution for -9x-3(5-6x)=4(x-2)-27 equation:


Simplifying
-9x + -3(5 + -6x) = 4(x + -2) + -27
-9x + (5 * -3 + -6x * -3) = 4(x + -2) + -27
-9x + (-15 + 18x) = 4(x + -2) + -27

Reorder the terms:
-15 + -9x + 18x = 4(x + -2) + -27

Combine like terms: -9x + 18x = 9x
-15 + 9x = 4(x + -2) + -27

Reorder the terms:
-15 + 9x = 4(-2 + x) + -27
-15 + 9x = (-2 * 4 + x * 4) + -27
-15 + 9x = (-8 + 4x) + -27

Reorder the terms:
-15 + 9x = -8 + -27 + 4x

Combine like terms: -8 + -27 = -35
-15 + 9x = -35 + 4x

Solving
-15 + 9x = -35 + 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 + 9x + -4x = -35 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-15 + 5x = -35 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 5x = -35 + 0
-15 + 5x = -35

Add '15' to each side of the equation.
-15 + 15 + 5x = -35 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = -35 + 15
5x = -35 + 15

Combine like terms: -35 + 15 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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