.8333(6x+12)+1=.666(9x-3)+4

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Solution for .8333(6x+12)+1=.666(9x-3)+4 equation: 


Simplifying
0.8333(6x + 12) + 1 = 0.666(9x + -3) + 4

Reorder the terms:
0.8333(12 + 6x) + 1 = 0.666(9x + -3) + 4
(12 * 0.8333 + 6x * 0.8333) + 1 = 0.666(9x + -3) + 4
(9.9996 + 4.9998x) + 1 = 0.666(9x + -3) + 4

Reorder the terms:
9.9996 + 1 + 4.9998x = 0.666(9x + -3) + 4

Combine like terms: 9.9996 + 1 = 10.9996
10.9996 + 4.9998x = 0.666(9x + -3) + 4

Reorder the terms:
10.9996 + 4.9998x = 0.666(-3 + 9x) + 4
10.9996 + 4.9998x = (-3 * 0.666 + 9x * 0.666) + 4
10.9996 + 4.9998x = (-1.998 + 5.994x) + 4

Reorder the terms:
10.9996 + 4.9998x = -1.998 + 4 + 5.994x

Combine like terms: -1.998 + 4 = 2.002
10.9996 + 4.9998x = 2.002 + 5.994x

Solving
10.9996 + 4.9998x = 2.002 + 5.994x

Solving for variable 'x'.

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

Add '-5.994x' to each side of the equation.
10.9996 + 4.9998x + -5.994x = 2.002 + 5.994x + -5.994x

Combine like terms: 4.9998x + -5.994x = -0.9942x
10.9996 + -0.9942x = 2.002 + 5.994x + -5.994x

Combine like terms: 5.994x + -5.994x = 0.000
10.9996 + -0.9942x = 2.002 + 0.000
10.9996 + -0.9942x = 2.002

Add '-10.9996' to each side of the equation.
10.9996 + -10.9996 + -0.9942x = 2.002 + -10.9996

Combine like terms: 10.9996 + -10.9996 = 0.0000
0.0000 + -0.9942x = 2.002 + -10.9996
-0.9942x = 2.002 + -10.9996

Combine like terms: 2.002 + -10.9996 = -8.9976
-0.9942x = -8.9976

Divide each side by '-0.9942'.
x = 9.050090525

Simplifying
x = 9.050090525

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