5x-(2x+9)=6x-36

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Solution for 5x-(2x+9)=6x-36 equation:


Simplifying
5x + -1(2x + 9) = 6x + -36

Reorder the terms:
5x + -1(9 + 2x) = 6x + -36
5x + (9 * -1 + 2x * -1) = 6x + -36
5x + (-9 + -2x) = 6x + -36

Reorder the terms:
-9 + 5x + -2x = 6x + -36

Combine like terms: 5x + -2x = 3x
-9 + 3x = 6x + -36

Reorder the terms:
-9 + 3x = -36 + 6x

Solving
-9 + 3x = -36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + 3x + -6x = -36 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-9 + -3x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -3x = -36 + 0
-9 + -3x = -36

Add '9' to each side of the equation.
-9 + 9 + -3x = -36 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = -36 + 9
-3x = -36 + 9

Combine like terms: -36 + 9 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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