5-3(7x-2)=9(x-9)

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Solution for 5-3(7x-2)=9(x-9) equation: 


Simplifying
5 + -3(7x + -2) = 9(x + -9)

Reorder the terms:
5 + -3(-2 + 7x) = 9(x + -9)
5 + (-2 * -3 + 7x * -3) = 9(x + -9)
5 + (6 + -21x) = 9(x + -9)

Combine like terms: 5 + 6 = 11
11 + -21x = 9(x + -9)

Reorder the terms:
11 + -21x = 9(-9 + x)
11 + -21x = (-9 * 9 + x * 9)
11 + -21x = (-81 + 9x)

Solving
11 + -21x = -81 + 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.
11 + -21x + -9x = -81 + 9x + -9x

Combine like terms: -21x + -9x = -30x
11 + -30x = -81 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -30x = -81 + 0
11 + -30x = -81

Add '-11' to each side of the equation.
11 + -11 + -30x = -81 + -11

Combine like terms: 11 + -11 = 0
0 + -30x = -81 + -11
-30x = -81 + -11

Combine like terms: -81 + -11 = -92
-30x = -92

Divide each side by '-30'.
x = 3.066666667

Simplifying
x = 3.066666667

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