1.5(4x-1.5)=.5x+14.25

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Solution for 1.5(4x-1.5)=.5x+14.25 equation: 


Simplifying
1.5(4x + -1.5) = 0.5x + 14.25

Reorder the terms:
1.5(-1.5 + 4x) = 0.5x + 14.25
(-1.5 * 1.5 + 4x * 1.5) = 0.5x + 14.25
(-2.25 + 6x) = 0.5x + 14.25

Reorder the terms:
-2.25 + 6x = 14.25 + 0.5x

Solving
-2.25 + 6x = 14.25 + 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.
-2.25 + 6x + -0.5x = 14.25 + 0.5x + -0.5x

Combine like terms: 6x + -0.5x = 5.5x
-2.25 + 5.5x = 14.25 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-2.25 + 5.5x = 14.25 + 0.0
-2.25 + 5.5x = 14.25

Add '2.25' to each side of the equation.
-2.25 + 2.25 + 5.5x = 14.25 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + 5.5x = 14.25 + 2.25
5.5x = 14.25 + 2.25

Combine like terms: 14.25 + 2.25 = 16.5
5.5x = 16.5

Divide each side by '5.5'.
x = 3

Simplifying
x = 3

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