-3(x-27)+9(x-3)=27x-1593

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Solution for -3(x-27)+9(x-3)=27x-1593 equation:


Simplifying
-3(x + -27) + 9(x + -3) = 27x + -1593

Reorder the terms:
-3(-27 + x) + 9(x + -3) = 27x + -1593
(-27 * -3 + x * -3) + 9(x + -3) = 27x + -1593
(81 + -3x) + 9(x + -3) = 27x + -1593

Reorder the terms:
81 + -3x + 9(-3 + x) = 27x + -1593
81 + -3x + (-3 * 9 + x * 9) = 27x + -1593
81 + -3x + (-27 + 9x) = 27x + -1593

Reorder the terms:
81 + -27 + -3x + 9x = 27x + -1593

Combine like terms: 81 + -27 = 54
54 + -3x + 9x = 27x + -1593

Combine like terms: -3x + 9x = 6x
54 + 6x = 27x + -1593

Reorder the terms:
54 + 6x = -1593 + 27x

Solving
54 + 6x = -1593 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
54 + 6x + -27x = -1593 + 27x + -27x

Combine like terms: 6x + -27x = -21x
54 + -21x = -1593 + 27x + -27x

Combine like terms: 27x + -27x = 0
54 + -21x = -1593 + 0
54 + -21x = -1593

Add '-54' to each side of the equation.
54 + -54 + -21x = -1593 + -54

Combine like terms: 54 + -54 = 0
0 + -21x = -1593 + -54
-21x = -1593 + -54

Combine like terms: -1593 + -54 = -1647
-21x = -1647

Divide each side by '-21'.
x = 78.42857143

Simplifying
x = 78.42857143

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