2x-(9x+3)=5x-27

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


Simplifying
2x + -1(9x + 3) = 5x + -27

Reorder the terms:
2x + -1(3 + 9x) = 5x + -27
2x + (3 * -1 + 9x * -1) = 5x + -27
2x + (-3 + -9x) = 5x + -27

Reorder the terms:
-3 + 2x + -9x = 5x + -27

Combine like terms: 2x + -9x = -7x
-3 + -7x = 5x + -27

Reorder the terms:
-3 + -7x = -27 + 5x

Solving
-3 + -7x = -27 + 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.
-3 + -7x + -5x = -27 + 5x + -5x

Combine like terms: -7x + -5x = -12x
-3 + -12x = -27 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -12x = -27 + 0
-3 + -12x = -27

Add '3' to each side of the equation.
-3 + 3 + -12x = -27 + 3

Combine like terms: -3 + 3 = 0
0 + -12x = -27 + 3
-12x = -27 + 3

Combine like terms: -27 + 3 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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