3(2x+1.2)=6(3x-4)

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Solution for 3(2x+1.2)=6(3x-4) equation:


Simplifying
3(2x + 1.2) = 6(3x + -4)

Reorder the terms:
3(1.2 + 2x) = 6(3x + -4)
(1.2 * 3 + 2x * 3) = 6(3x + -4)
(3.6 + 6x) = 6(3x + -4)

Reorder the terms:
3.6 + 6x = 6(-4 + 3x)
3.6 + 6x = (-4 * 6 + 3x * 6)
3.6 + 6x = (-24 + 18x)

Solving
3.6 + 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.
3.6 + 6x + -18x = -24 + 18x + -18x

Combine like terms: 6x + -18x = -12x
3.6 + -12x = -24 + 18x + -18x

Combine like terms: 18x + -18x = 0
3.6 + -12x = -24 + 0
3.6 + -12x = -24

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -12x = -24 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -12x = -24 + -3.6
-12x = -24 + -3.6

Combine like terms: -24 + -3.6 = -27.6
-12x = -27.6

Divide each side by '-12'.
x = 2.3

Simplifying
x = 2.3

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