0.2x+3=1.5x-12

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Solution for 0.2x+3=1.5x-12 equation: 


Simplifying
0.2x + 3 = 1.5x + -12

Reorder the terms:
3 + 0.2x = 1.5x + -12

Reorder the terms:
3 + 0.2x = -12 + 1.5x

Solving
3 + 0.2x = -12 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
3 + 0.2x + -1.5x = -12 + 1.5x + -1.5x

Combine like terms: 0.2x + -1.5x = -1.3x
3 + -1.3x = -12 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
3 + -1.3x = -12 + 0.0
3 + -1.3x = -12

Add '-3' to each side of the equation.
3 + -3 + -1.3x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -1.3x = -12 + -3
-1.3x = -12 + -3

Combine like terms: -12 + -3 = -15
-1.3x = -15

Divide each side by '-1.3'.
x = 11.53846154

Simplifying
x = 11.53846154

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