0.4(3-x)-0.6(2x-3)=0

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Solution for 0.4(3-x)-0.6(2x-3)=0 equation:


Simplifying
0.4(3 + -1x) + -0.6(2x + -3) = 0
(3 * 0.4 + -1x * 0.4) + -0.6(2x + -3) = 0
(1.2 + -0.4x) + -0.6(2x + -3) = 0

Reorder the terms:
1.2 + -0.4x + -0.6(-3 + 2x) = 0
1.2 + -0.4x + (-3 * -0.6 + 2x * -0.6) = 0
1.2 + -0.4x + (1.8 + -1.2x) = 0

Reorder the terms:
1.2 + 1.8 + -0.4x + -1.2x = 0

Combine like terms: 1.2 + 1.8 = 3
3 + -0.4x + -1.2x = 0

Combine like terms: -0.4x + -1.2x = -1.6x
3 + -1.6x = 0

Solving
3 + -1.6x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -1.6x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.6x = 0 + -3
-1.6x = 0 + -3

Combine like terms: 0 + -3 = -3
-1.6x = -3

Divide each side by '-1.6'.
x = 1.875

Simplifying
x = 1.875

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