6.5-1.5(x-4)+4X=10.25

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Solution for 6.5-1.5(x-4)+4X=10.25 equation: 


Simplifying
6.5 + -1.5(x + -4) + 4X = 10.25

Reorder the terms:
6.5 + -1.5(-4 + x) + 4X = 10.25
6.5 + (-4 * -1.5 + x * -1.5) + 4X = 10.25
6.5 + (6 + -1.5x) + 4X = 10.25

Reorder the terms:
6.5 + 6 + 4X + -1.5x = 10.25

Combine like terms: 6.5 + 6 = 12.5
12.5 + 4X + -1.5x = 10.25

Solving
12.5 + 4X + -1.5x = 10.25

Solving for variable 'X'.

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

Add '-12.5' to each side of the equation.
12.5 + 4X + -12.5 + -1.5x = 10.25 + -12.5

Reorder the terms:
12.5 + -12.5 + 4X + -1.5x = 10.25 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 4X + -1.5x = 10.25 + -12.5
4X + -1.5x = 10.25 + -12.5

Combine like terms: 10.25 + -12.5 = -2.25
4X + -1.5x = -2.25

Add '1.5x' to each side of the equation.
4X + -1.5x + 1.5x = -2.25 + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
4X + 0.0 = -2.25 + 1.5x
4X = -2.25 + 1.5x

Divide each side by '4'.
X = -0.5625 + 0.375x

Simplifying
X = -0.5625 + 0.375x

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