6(2x+3)=11x-3-6x

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Solution for 6(2x+3)=11x-3-6x equation:


Simplifying
6(2x + 3) = 11x + -3 + -6x

Reorder the terms:
6(3 + 2x) = 11x + -3 + -6x
(3 * 6 + 2x * 6) = 11x + -3 + -6x
(18 + 12x) = 11x + -3 + -6x

Reorder the terms:
18 + 12x = -3 + 11x + -6x

Combine like terms: 11x + -6x = 5x
18 + 12x = -3 + 5x

Solving
18 + 12x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 12x + -5x = -3 + 5x + -5x

Combine like terms: 12x + -5x = 7x
18 + 7x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 7x = -3 + 0
18 + 7x = -3

Add '-18' to each side of the equation.
18 + -18 + 7x = -3 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = -3 + -18
7x = -3 + -18

Combine like terms: -3 + -18 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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