2.4(3-x)-0.6(2x-3)=0

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Solution for 2.4(3-x)-0.6(2x-3)=0 equation: 


Simplifying
2.4(3 + -1x) + -0.6(2x + -3) = 0
(3 * 2.4 + -1x * 2.4) + -0.6(2x + -3) = 0
(7.2 + -2.4x) + -0.6(2x + -3) = 0

Reorder the terms:
7.2 + -2.4x + -0.6(-3 + 2x) = 0
7.2 + -2.4x + (-3 * -0.6 + 2x * -0.6) = 0
7.2 + -2.4x + (1.8 + -1.2x) = 0

Reorder the terms:
7.2 + 1.8 + -2.4x + -1.2x = 0

Combine like terms: 7.2 + 1.8 = 9
9 + -2.4x + -1.2x = 0

Combine like terms: -2.4x + -1.2x = -3.6x
9 + -3.6x = 0

Solving
9 + -3.6x = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -3.6x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -3.6x = 0 + -9
-3.6x = 0 + -9

Combine like terms: 0 + -9 = -9
-3.6x = -9

Divide each side by '-3.6'.
x = 2.5

Simplifying
x = 2.5

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