0.5x+3=0.8x-1.5

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Solution for 0.5x+3=0.8x-1.5 equation:


Simplifying
0.5x + 3 = 0.8x + -1.5

Reorder the terms:
3 + 0.5x = 0.8x + -1.5

Reorder the terms:
3 + 0.5x = -1.5 + 0.8x

Solving
3 + 0.5x = -1.5 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
3 + 0.5x + -0.8x = -1.5 + 0.8x + -0.8x

Combine like terms: 0.5x + -0.8x = -0.3x
3 + -0.3x = -1.5 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
3 + -0.3x = -1.5 + 0.0
3 + -0.3x = -1.5

Add '-3' to each side of the equation.
3 + -3 + -0.3x = -1.5 + -3

Combine like terms: 3 + -3 = 0
0 + -0.3x = -1.5 + -3
-0.3x = -1.5 + -3

Combine like terms: -1.5 + -3 = -4.5
-0.3x = -4.5

Divide each side by '-0.3'.
x = 15

Simplifying
x = 15

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