.33(x+9)-0.16(X-6)=x-8

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Solution for .33(x+9)-0.16(X-6)=x-8 equation: 


Simplifying
0.33(x + 9) + -0.16(X + -6) = x + -8

Reorder the terms:
0.33(9 + x) + -0.16(X + -6) = x + -8
(9 * 0.33 + x * 0.33) + -0.16(X + -6) = x + -8
(2.97 + 0.33x) + -0.16(X + -6) = x + -8

Reorder the terms:
2.97 + 0.33x + -0.16(-6 + X) = x + -8
2.97 + 0.33x + (-6 * -0.16 + X * -0.16) = x + -8
2.97 + 0.33x + (0.96 + -0.16X) = x + -8

Reorder the terms:
2.97 + 0.96 + -0.16X + 0.33x = x + -8

Combine like terms: 2.97 + 0.96 = 3.93
3.93 + -0.16X + 0.33x = x + -8

Reorder the terms:
3.93 + -0.16X + 0.33x = -8 + x

Solving
3.93 + -0.16X + 0.33x = -8 + x

Solving for variable 'X'.

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

Add '-3.93' to each side of the equation.
3.93 + -0.16X + -3.93 + 0.33x = -8 + -3.93 + x

Reorder the terms:
3.93 + -3.93 + -0.16X + 0.33x = -8 + -3.93 + x

Combine like terms: 3.93 + -3.93 = 0.00
0.00 + -0.16X + 0.33x = -8 + -3.93 + x
-0.16X + 0.33x = -8 + -3.93 + x

Combine like terms: -8 + -3.93 = -11.93
-0.16X + 0.33x = -11.93 + x

Add '-0.33x' to each side of the equation.
-0.16X + 0.33x + -0.33x = -11.93 + x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
-0.16X + 0.00 = -11.93 + x + -0.33x
-0.16X = -11.93 + x + -0.33x

Combine like terms: x + -0.33x = 0.67x
-0.16X = -11.93 + 0.67x

Divide each side by '-0.16'.
X = 74.5625 + -4.1875x

Simplifying
X = 74.5625 + -4.1875x

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