.75(x-9)=x+6

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Solution for .75(x-9)=x+6 equation: 


Simplifying
0.75(x + -9) = x + 6

Reorder the terms:
0.75(-9 + x) = x + 6
(-9 * 0.75 + x * 0.75) = x + 6
(-6.75 + 0.75x) = x + 6

Reorder the terms:
-6.75 + 0.75x = 6 + x

Solving
-6.75 + 0.75x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6.75 + 0.75x + -1x = 6 + x + -1x

Combine like terms: 0.75x + -1x = -0.25x
-6.75 + -0.25x = 6 + x + -1x

Combine like terms: x + -1x = 0
-6.75 + -0.25x = 6 + 0
-6.75 + -0.25x = 6

Add '6.75' to each side of the equation.
-6.75 + 6.75 + -0.25x = 6 + 6.75

Combine like terms: -6.75 + 6.75 = 0.00
0.00 + -0.25x = 6 + 6.75
-0.25x = 6 + 6.75

Combine like terms: 6 + 6.75 = 12.75
-0.25x = 12.75

Divide each side by '-0.25'.
x = -51

Simplifying
x = -51

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