12(2.3-1.5x)-6=-3(18.4-3.5x)-6.1(4x+3)

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Solution for 12(2.3-1.5x)-6=-3(18.4-3.5x)-6.1(4x+3) equation: 


Simplifying
12(2.3 + -1.5x) + -6 = -3(18.4 + -3.5x) + -6.1(4x + 3)
(2.3 * 12 + -1.5x * 12) + -6 = -3(18.4 + -3.5x) + -6.1(4x + 3)
(27.6 + -18x) + -6 = -3(18.4 + -3.5x) + -6.1(4x + 3)

Reorder the terms:
27.6 + -6 + -18x = -3(18.4 + -3.5x) + -6.1(4x + 3)

Combine like terms: 27.6 + -6 = 21.6
21.6 + -18x = -3(18.4 + -3.5x) + -6.1(4x + 3)
21.6 + -18x = (18.4 * -3 + -3.5x * -3) + -6.1(4x + 3)
21.6 + -18x = (-55.2 + 10.5x) + -6.1(4x + 3)

Reorder the terms:
21.6 + -18x = -55.2 + 10.5x + -6.1(3 + 4x)
21.6 + -18x = -55.2 + 10.5x + (3 * -6.1 + 4x * -6.1)
21.6 + -18x = -55.2 + 10.5x + (-18.3 + -24.4x)

Reorder the terms:
21.6 + -18x = -55.2 + -18.3 + 10.5x + -24.4x

Combine like terms: -55.2 + -18.3 = -73.5
21.6 + -18x = -73.5 + 10.5x + -24.4x

Combine like terms: 10.5x + -24.4x = -13.9x
21.6 + -18x = -73.5 + -13.9x

Solving
21.6 + -18x = -73.5 + -13.9x

Solving for variable 'x'.

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

Add '13.9x' to each side of the equation.
21.6 + -18x + 13.9x = -73.5 + -13.9x + 13.9x

Combine like terms: -18x + 13.9x = -4.1x
21.6 + -4.1x = -73.5 + -13.9x + 13.9x

Combine like terms: -13.9x + 13.9x = 0.0
21.6 + -4.1x = -73.5 + 0.0
21.6 + -4.1x = -73.5

Add '-21.6' to each side of the equation.
21.6 + -21.6 + -4.1x = -73.5 + -21.6

Combine like terms: 21.6 + -21.6 = 0.0
0.0 + -4.1x = -73.5 + -21.6
-4.1x = -73.5 + -21.6

Combine like terms: -73.5 + -21.6 = -95.1
-4.1x = -95.1

Divide each side by '-4.1'.
x = 23.19512195

Simplifying
x = 23.19512195

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