1.5x+2.25=-.75x+0.5

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Solution for 1.5x+2.25=-.75x+0.5 equation: 


Simplifying
1.5x + 2.25 = -0.75x + 0.5

Reorder the terms:
2.25 + 1.5x = -0.75x + 0.5

Reorder the terms:
2.25 + 1.5x = 0.5 + -0.75x

Solving
2.25 + 1.5x = 0.5 + -0.75x

Solving for variable 'x'.

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

Add '0.75x' to each side of the equation.
2.25 + 1.5x + 0.75x = 0.5 + -0.75x + 0.75x

Combine like terms: 1.5x + 0.75x = 2.25x
2.25 + 2.25x = 0.5 + -0.75x + 0.75x

Combine like terms: -0.75x + 0.75x = 0.00
2.25 + 2.25x = 0.5 + 0.00
2.25 + 2.25x = 0.5

Add '-2.25' to each side of the equation.
2.25 + -2.25 + 2.25x = 0.5 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 2.25x = 0.5 + -2.25
2.25x = 0.5 + -2.25

Combine like terms: 0.5 + -2.25 = -1.75
2.25x = -1.75

Divide each side by '2.25'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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