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

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


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

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

Reorder the terms:
18 + 12x = 2(3 + 2x)
18 + 12x = (3 * 2 + 2x * 2)
18 + 12x = (6 + 4x)

Solving
18 + 12x = 6 + 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.
18 + 12x + -4x = 6 + 4x + -4x

Combine like terms: 12x + -4x = 8x
18 + 8x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + 8x = 6 + 0
18 + 8x = 6

Add '-18' to each side of the equation.
18 + -18 + 8x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = 6 + -18
8x = 6 + -18

Combine like terms: 6 + -18 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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