.1666(x+3)=3x-5(3-x)-8

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Solution for .1666(x+3)=3x-5(3-x)-8 equation:


Simplifying
0.1666(x + 3) = 3x + -5(3 + -1x) + -8

Reorder the terms:
0.1666(3 + x) = 3x + -5(3 + -1x) + -8
(3 * 0.1666 + x * 0.1666) = 3x + -5(3 + -1x) + -8
(0.4998 + 0.1666x) = 3x + -5(3 + -1x) + -8
0.4998 + 0.1666x = 3x + (3 * -5 + -1x * -5) + -8
0.4998 + 0.1666x = 3x + (-15 + 5x) + -8

Reorder the terms:
0.4998 + 0.1666x = -15 + -8 + 3x + 5x

Combine like terms: -15 + -8 = -23
0.4998 + 0.1666x = -23 + 3x + 5x

Combine like terms: 3x + 5x = 8x
0.4998 + 0.1666x = -23 + 8x

Solving
0.4998 + 0.1666x = -23 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
0.4998 + 0.1666x + -8x = -23 + 8x + -8x

Combine like terms: 0.1666x + -8x = -7.8334x
0.4998 + -7.8334x = -23 + 8x + -8x

Combine like terms: 8x + -8x = 0
0.4998 + -7.8334x = -23 + 0
0.4998 + -7.8334x = -23

Add '-0.4998' to each side of the equation.
0.4998 + -0.4998 + -7.8334x = -23 + -0.4998

Combine like terms: 0.4998 + -0.4998 = 0.0000
0.0000 + -7.8334x = -23 + -0.4998
-7.8334x = -23 + -0.4998

Combine like terms: -23 + -0.4998 = -23.4998
-7.8334x = -23.4998

Divide each side by '-7.8334'.
x = 2.999948937

Simplifying
x = 2.999948937

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