6=5x-3(3x+6)

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Solution for 6=5x-3(3x+6) equation:


Simplifying
6 = 5x + -3(3x + 6)

Reorder the terms:
6 = 5x + -3(6 + 3x)
6 = 5x + (6 * -3 + 3x * -3)
6 = 5x + (-18 + -9x)

Reorder the terms:
6 = -18 + 5x + -9x

Combine like terms: 5x + -9x = -4x
6 = -18 + -4x

Solving
6 = -18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 4x = -18 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 4x = -18 + 0
6 + 4x = -18

Add '-6' to each side of the equation.
6 + -6 + 4x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -18 + -6
4x = -18 + -6

Combine like terms: -18 + -6 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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