0.75(x+6)=0.25(x-3)

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Solution for 0.75(x+6)=0.25(x-3) equation: 


Simplifying
0.75(x + 6) = 0.25(x + -3)

Reorder the terms:
0.75(6 + x) = 0.25(x + -3)
(6 * 0.75 + x * 0.75) = 0.25(x + -3)
(4.5 + 0.75x) = 0.25(x + -3)

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

Solving
4.5 + 0.75x = -0.75 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
4.5 + 0.75x + -0.25x = -0.75 + 0.25x + -0.25x

Combine like terms: 0.75x + -0.25x = 0.5x
4.5 + 0.5x = -0.75 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
4.5 + 0.5x = -0.75 + 0.00
4.5 + 0.5x = -0.75

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.5x = -0.75 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.5x = -0.75 + -4.5
0.5x = -0.75 + -4.5

Combine like terms: -0.75 + -4.5 = -5.25
0.5x = -5.25

Divide each side by '0.5'.
x = -10.5

Simplifying
x = -10.5

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