6=5x-3(x-6)

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


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

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

Reorder the terms:
6 = 18 + 5x + -3x

Combine like terms: 5x + -3x = 2x
6 = 18 + 2x

Solving
6 = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -2x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -2x = 18 + 0
6 + -2x = 18

Add '-6' to each side of the equation.
6 + -6 + -2x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 18 + -6
-2x = 18 + -6

Combine like terms: 18 + -6 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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