8x-(3x-9)=6x-33

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Solution for 8x-(3x-9)=6x-33 equation:


Simplifying
8x + -1(3x + -9) = 6x + -33

Reorder the terms:
8x + -1(-9 + 3x) = 6x + -33
8x + (-9 * -1 + 3x * -1) = 6x + -33
8x + (9 + -3x) = 6x + -33

Reorder the terms:
9 + 8x + -3x = 6x + -33

Combine like terms: 8x + -3x = 5x
9 + 5x = 6x + -33

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

Solving
9 + 5x = -33 + 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 + 5x + -6x = -33 + 6x + -6x

Combine like terms: 5x + -6x = -1x
9 + -1x = -33 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -1x = -33 + 0
9 + -1x = -33

Add '-9' to each side of the equation.
9 + -9 + -1x = -33 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -33 + -9
-1x = -33 + -9

Combine like terms: -33 + -9 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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