3(4x+12)=2(2x-1)

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Solution for 3(4x+12)=2(2x-1) equation:


Simplifying
3(4x + 12) = 2(2x + -1)

Reorder the terms:
3(12 + 4x) = 2(2x + -1)
(12 * 3 + 4x * 3) = 2(2x + -1)
(36 + 12x) = 2(2x + -1)

Reorder the terms:
36 + 12x = 2(-1 + 2x)
36 + 12x = (-1 * 2 + 2x * 2)
36 + 12x = (-2 + 4x)

Solving
36 + 12x = -2 + 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.
36 + 12x + -4x = -2 + 4x + -4x

Combine like terms: 12x + -4x = 8x
36 + 8x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 8x = -2 + 0
36 + 8x = -2

Add '-36' to each side of the equation.
36 + -36 + 8x = -2 + -36

Combine like terms: 36 + -36 = 0
0 + 8x = -2 + -36
8x = -2 + -36

Combine like terms: -2 + -36 = -38
8x = -38

Divide each side by '8'.
x = -4.75

Simplifying
x = -4.75

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