9(x-6)=33-x

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


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

Reorder the terms:
9(-6 + x) = 33 + -1x
(-6 * 9 + x * 9) = 33 + -1x
(-54 + 9x) = 33 + -1x

Solving
-54 + 9x = 33 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-54 + 9x + x = 33 + -1x + x

Combine like terms: 9x + x = 10x
-54 + 10x = 33 + -1x + x

Combine like terms: -1x + x = 0
-54 + 10x = 33 + 0
-54 + 10x = 33

Add '54' to each side of the equation.
-54 + 54 + 10x = 33 + 54

Combine like terms: -54 + 54 = 0
0 + 10x = 33 + 54
10x = 33 + 54

Combine like terms: 33 + 54 = 87
10x = 87

Divide each side by '10'.
x = 8.7

Simplifying
x = 8.7

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