(-.75)X+2=(.5)X+6

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Solution for (-.75)X+2=(.5)X+6 equation: 


Simplifying
(-0.75) * X + 2 = (0.5) * X + 6

Reorder the terms:
2 + -0.75X = (0.5) * X + 6

Reorder the terms:
2 + -0.75X = 6 + 0.5X

Solving
2 + -0.75X = 6 + 0.5X

Solving for variable 'X'.

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

Add '-0.5X' to each side of the equation.
2 + -0.75X + -0.5X = 6 + 0.5X + -0.5X

Combine like terms: -0.75X + -0.5X = -1.25X
2 + -1.25X = 6 + 0.5X + -0.5X

Combine like terms: 0.5X + -0.5X = 0.0
2 + -1.25X = 6 + 0.0
2 + -1.25X = 6

Add '-2' to each side of the equation.
2 + -2 + -1.25X = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -1.25X = 6 + -2
-1.25X = 6 + -2

Combine like terms: 6 + -2 = 4
-1.25X = 4

Divide each side by '-1.25'.
X = -3.2

Simplifying
X = -3.2

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