2(4x+6)=3(6+2x)

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Solution for 2(4x+6)=3(6+2x) equation: 


Simplifying
2(4x + 6) = 3(6 + 2x)

Reorder the terms:
2(6 + 4x) = 3(6 + 2x)
(6 * 2 + 4x * 2) = 3(6 + 2x)
(12 + 8x) = 3(6 + 2x)
12 + 8x = (6 * 3 + 2x * 3)
12 + 8x = (18 + 6x)

Solving
12 + 8x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 8x + -6x = 18 + 6x + -6x

Combine like terms: 8x + -6x = 2x
12 + 2x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 2x = 18 + 0
12 + 2x = 18

Add '-12' to each side of the equation.
12 + -12 + 2x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 18 + -12
2x = 18 + -12

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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