3(2x+1)=6(2x+2)+3

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Solution for 3(2x+1)=6(2x+2)+3 equation:


Simplifying
3(2x + 1) = 6(2x + 2) + 3

Reorder the terms:
3(1 + 2x) = 6(2x + 2) + 3
(1 * 3 + 2x * 3) = 6(2x + 2) + 3
(3 + 6x) = 6(2x + 2) + 3

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

Reorder the terms:
3 + 6x = 12 + 3 + 12x

Combine like terms: 12 + 3 = 15
3 + 6x = 15 + 12x

Solving
3 + 6x = 15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + 6x + -12x = 15 + 12x + -12x

Combine like terms: 6x + -12x = -6x
3 + -6x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -6x = 15 + 0
3 + -6x = 15

Add '-3' to each side of the equation.
3 + -3 + -6x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 15 + -3
-6x = 15 + -3

Combine like terms: 15 + -3 = 12
-6x = 12

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

Simplifying
x = -2

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