3x-(6x+9)=5x-33

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Solution for 3x-(6x+9)=5x-33 equation:


Simplifying
3x + -1(6x + 9) = 5x + -33

Reorder the terms:
3x + -1(9 + 6x) = 5x + -33
3x + (9 * -1 + 6x * -1) = 5x + -33
3x + (-9 + -6x) = 5x + -33

Reorder the terms:
-9 + 3x + -6x = 5x + -33

Combine like terms: 3x + -6x = -3x
-9 + -3x = 5x + -33

Reorder the terms:
-9 + -3x = -33 + 5x

Solving
-9 + -3x = -33 + 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.
-9 + -3x + -5x = -33 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-9 + -8x = -33 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -8x = -33 + 0
-9 + -8x = -33

Add '9' to each side of the equation.
-9 + 9 + -8x = -33 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = -33 + 9
-8x = -33 + 9

Combine like terms: -33 + 9 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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