1.125(4-.5x)=3(.25x+2.5)

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Solution for 1.125(4-.5x)=3(.25x+2.5) equation: 


Simplifying
1.125(4 + -0.5x) = 3(0.25x + 2.5)
(4 * 1.125 + -0.5x * 1.125) = 3(0.25x + 2.5)
(4.5 + -0.5625x) = 3(0.25x + 2.5)

Reorder the terms:
4.5 + -0.5625x = 3(2.5 + 0.25x)
4.5 + -0.5625x = (2.5 * 3 + 0.25x * 3)
4.5 + -0.5625x = (7.5 + 0.75x)

Solving
4.5 + -0.5625x = 7.5 + 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.
4.5 + -0.5625x + -0.75x = 7.5 + 0.75x + -0.75x

Combine like terms: -0.5625x + -0.75x = -1.3125x
4.5 + -1.3125x = 7.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
4.5 + -1.3125x = 7.5 + 0.00
4.5 + -1.3125x = 7.5

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -1.3125x = 7.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1.3125x = 7.5 + -4.5
-1.3125x = 7.5 + -4.5

Combine like terms: 7.5 + -4.5 = 3
-1.3125x = 3

Divide each side by '-1.3125'.
x = -2.285714286

Simplifying
x = -2.285714286

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