2.4(2x+3)=1.8(3x-2)

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Solution for 2.4(2x+3)=1.8(3x-2) equation: 


Simplifying
2.4(2x + 3) = 1.8(3x + -2)

Reorder the terms:
2.4(3 + 2x) = 1.8(3x + -2)
(3 * 2.4 + 2x * 2.4) = 1.8(3x + -2)
(7.2 + 4.8x) = 1.8(3x + -2)

Reorder the terms:
7.2 + 4.8x = 1.8(-2 + 3x)
7.2 + 4.8x = (-2 * 1.8 + 3x * 1.8)
7.2 + 4.8x = (-3.6 + 5.4x)

Solving
7.2 + 4.8x = -3.6 + 5.4x

Solving for variable 'x'.

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

Add '-5.4x' to each side of the equation.
7.2 + 4.8x + -5.4x = -3.6 + 5.4x + -5.4x

Combine like terms: 4.8x + -5.4x = -0.6x
7.2 + -0.6x = -3.6 + 5.4x + -5.4x

Combine like terms: 5.4x + -5.4x = 0.0
7.2 + -0.6x = -3.6 + 0.0
7.2 + -0.6x = -3.6

Add '-7.2' to each side of the equation.
7.2 + -7.2 + -0.6x = -3.6 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + -0.6x = -3.6 + -7.2
-0.6x = -3.6 + -7.2

Combine like terms: -3.6 + -7.2 = -10.8
-0.6x = -10.8

Divide each side by '-0.6'.
x = 18

Simplifying
x = 18

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