0.4x+1.5=0.6x+3

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Solution for 0.4x+1.5=0.6x+3 equation: 


Simplifying
0.4x + 1.5 = 0.6x + 3

Reorder the terms:
1.5 + 0.4x = 0.6x + 3

Reorder the terms:
1.5 + 0.4x = 3 + 0.6x

Solving
1.5 + 0.4x = 3 + 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.
1.5 + 0.4x + -0.6x = 3 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
1.5 + -0.2x = 3 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
1.5 + -0.2x = 3 + 0.0
1.5 + -0.2x = 3

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.2x = 3 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.2x = 3 + -1.5
-0.2x = 3 + -1.5

Combine like terms: 3 + -1.5 = 1.5
-0.2x = 1.5

Divide each side by '-0.2'.
x = -7.5

Simplifying
x = -7.5

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