6[1-(5x-2)]=9(3-3x)

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Solution for 6[1-(5x-2)]=9(3-3x) equation:


Simplifying
6[1 + -1(5x + -2)] = 9(3 + -3x)

Reorder the terms:
6[1 + -1(-2 + 5x)] = 9(3 + -3x)
6[1 + (-2 * -1 + 5x * -1)] = 9(3 + -3x)
6[1 + (2 + -5x)] = 9(3 + -3x)

Combine like terms: 1 + 2 = 3
6[3 + -5x] = 9(3 + -3x)
[3 * 6 + -5x * 6] = 9(3 + -3x)
[18 + -30x] = 9(3 + -3x)
18 + -30x = (3 * 9 + -3x * 9)
18 + -30x = (27 + -27x)

Solving
18 + -30x = 27 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
18 + -30x + 27x = 27 + -27x + 27x

Combine like terms: -30x + 27x = -3x
18 + -3x = 27 + -27x + 27x

Combine like terms: -27x + 27x = 0
18 + -3x = 27 + 0
18 + -3x = 27

Add '-18' to each side of the equation.
18 + -18 + -3x = 27 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 27 + -18
-3x = 27 + -18

Combine like terms: 27 + -18 = 9
-3x = 9

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

Simplifying
x = -3

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