.4(x-3)=.6x+1.8

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Solution for .4(x-3)=.6x+1.8 equation:


Simplifying
0.4(x + -3) = 0.6x + 1.8

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

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

Solving
-1.2 + 0.4x = 1.8 + 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.
-1.2 + 0.4x + -0.6x = 1.8 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
-1.2 + -0.2x = 1.8 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
-1.2 + -0.2x = 1.8 + 0.0
-1.2 + -0.2x = 1.8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.2x = 1.8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.2x = 1.8 + 1.2
-0.2x = 1.8 + 1.2

Combine like terms: 1.8 + 1.2 = 3
-0.2x = 3

Divide each side by '-0.2'.
x = -15

Simplifying
x = -15

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