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

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


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

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

Combine like terms: 33 + 9 = 42
42 + -1x = 9x + -6

Reorder the terms:
42 + -1x = -6 + 9x

Solving
42 + -1x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
42 + -1x + -9x = -6 + 9x + -9x

Combine like terms: -1x + -9x = -10x
42 + -10x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
42 + -10x = -6 + 0
42 + -10x = -6

Add '-42' to each side of the equation.
42 + -42 + -10x = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -10x = -6 + -42
-10x = -6 + -42

Combine like terms: -6 + -42 = -48
-10x = -48

Divide each side by '-10'.
x = 4.8

Simplifying
x = 4.8

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