4(3x+6)-6(3x-5)=12x+3(2x-8)

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Solution for 4(3x+6)-6(3x-5)=12x+3(2x-8) equation:


Simplifying
4(3x + 6) + -6(3x + -5) = 12x + 3(2x + -8)

Reorder the terms:
4(6 + 3x) + -6(3x + -5) = 12x + 3(2x + -8)
(6 * 4 + 3x * 4) + -6(3x + -5) = 12x + 3(2x + -8)
(24 + 12x) + -6(3x + -5) = 12x + 3(2x + -8)

Reorder the terms:
24 + 12x + -6(-5 + 3x) = 12x + 3(2x + -8)
24 + 12x + (-5 * -6 + 3x * -6) = 12x + 3(2x + -8)
24 + 12x + (30 + -18x) = 12x + 3(2x + -8)

Reorder the terms:
24 + 30 + 12x + -18x = 12x + 3(2x + -8)

Combine like terms: 24 + 30 = 54
54 + 12x + -18x = 12x + 3(2x + -8)

Combine like terms: 12x + -18x = -6x
54 + -6x = 12x + 3(2x + -8)

Reorder the terms:
54 + -6x = 12x + 3(-8 + 2x)
54 + -6x = 12x + (-8 * 3 + 2x * 3)
54 + -6x = 12x + (-24 + 6x)

Reorder the terms:
54 + -6x = -24 + 12x + 6x

Combine like terms: 12x + 6x = 18x
54 + -6x = -24 + 18x

Solving
54 + -6x = -24 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
54 + -6x + -18x = -24 + 18x + -18x

Combine like terms: -6x + -18x = -24x
54 + -24x = -24 + 18x + -18x

Combine like terms: 18x + -18x = 0
54 + -24x = -24 + 0
54 + -24x = -24

Add '-54' to each side of the equation.
54 + -54 + -24x = -24 + -54

Combine like terms: 54 + -54 = 0
0 + -24x = -24 + -54
-24x = -24 + -54

Combine like terms: -24 + -54 = -78
-24x = -78

Divide each side by '-24'.
x = 3.25

Simplifying
x = 3.25

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