0.5*(X-1)+0.25(2x+3)=1

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Solution for 0.5*(X-1)+0.25(2x+3)=1 equation: 


Simplifying
0.5(X + -1) + 0.25(2x + 3) = 1

Reorder the terms:
0.5(-1 + X) + 0.25(2x + 3) = 1
(-1 * 0.5 + X * 0.5) + 0.25(2x + 3) = 1
(-0.5 + 0.5X) + 0.25(2x + 3) = 1

Reorder the terms:
-0.5 + 0.5X + 0.25(3 + 2x) = 1
-0.5 + 0.5X + (3 * 0.25 + 2x * 0.25) = 1
-0.5 + 0.5X + (0.75 + 0.5x) = 1

Reorder the terms:
-0.5 + 0.75 + 0.5X + 0.5x = 1

Combine like terms: -0.5 + 0.75 = 0.25
0.25 + 0.5X + 0.5x = 1

Solving
0.25 + 0.5X + 0.5x = 1

Solving for variable 'X'.

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

Add '-0.25' to each side of the equation.
0.25 + 0.5X + -0.25 + 0.5x = 1 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.5X + 0.5x = 1 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.5X + 0.5x = 1 + -0.25
0.5X + 0.5x = 1 + -0.25

Combine like terms: 1 + -0.25 = 0.75
0.5X + 0.5x = 0.75

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

Combine like terms: 0.5x + -0.5x = 0.0
0.5X + 0.0 = 0.75 + -0.5x
0.5X = 0.75 + -0.5x

Divide each side by '0.5'.
X = 1.5 + -1x

Simplifying
X = 1.5 + -1x

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