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

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


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

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

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

Solving
3 + 2x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 2x + -8x = 12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
3 + -6x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -6x = 12 + 0
3 + -6x = 12

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

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

Combine like terms: 12 + -3 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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