0.4(1-3x)=0.6(x+3)-1.2

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Solution for 0.4(1-3x)=0.6(x+3)-1.2 equation:


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

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

Reorder the terms:
0.4 + -1.2x = 1.8 + -1.2 + 0.6x

Combine like terms: 1.8 + -1.2 = 0.6
0.4 + -1.2x = 0.6 + 0.6x

Solving
0.4 + -1.2x = 0.6 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.4 + -1.2x + -0.6x = 0.6 + 0.6x + -0.6x

Combine like terms: -1.2x + -0.6x = -1.8x
0.4 + -1.8x = 0.6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.4 + -1.8x = 0.6 + 0.0
0.4 + -1.8x = 0.6

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -1.8x = 0.6 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.8x = 0.6 + -0.4
-1.8x = 0.6 + -0.4

Combine like terms: 0.6 + -0.4 = 0.2
-1.8x = 0.2

Divide each side by '-1.8'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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