6(x-2)-5(5x+3)=x-27

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


Simplifying
6(x + -2) + -5(5x + 3) = x + -27

Reorder the terms:
6(-2 + x) + -5(5x + 3) = x + -27
(-2 * 6 + x * 6) + -5(5x + 3) = x + -27
(-12 + 6x) + -5(5x + 3) = x + -27

Reorder the terms:
-12 + 6x + -5(3 + 5x) = x + -27
-12 + 6x + (3 * -5 + 5x * -5) = x + -27
-12 + 6x + (-15 + -25x) = x + -27

Reorder the terms:
-12 + -15 + 6x + -25x = x + -27

Combine like terms: -12 + -15 = -27
-27 + 6x + -25x = x + -27

Combine like terms: 6x + -25x = -19x
-27 + -19x = x + -27

Reorder the terms:
-27 + -19x = -27 + x

Add '27' to each side of the equation.
-27 + 27 + -19x = -27 + 27 + x

Combine like terms: -27 + 27 = 0
0 + -19x = -27 + 27 + x
-19x = -27 + 27 + x

Combine like terms: -27 + 27 = 0
-19x = 0 + x
-19x = x

Solving
-19x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-19x + -1x = x + -1x

Combine like terms: -19x + -1x = -20x
-20x = x + -1x

Combine like terms: x + -1x = 0
-20x = 0

Divide each side by '-20'.
x = 0.0

Simplifying
x = 0.0

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