0.833333333(6x+12)+1=0.666666667(9x-3)+5

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Solution for 0.833333333(6x+12)+1=0.666666667(9x-3)+5 equation: 


Simplifying
0.833333333(6x + 12) + 1 = 0.666666667(9x + -3) + 5

Reorder the terms:
0.833333333(12 + 6x) + 1 = 0.666666667(9x + -3) + 5
(12 * 0.833333333 + 6x * 0.833333333) + 1 = 0.666666667(9x + -3) + 5
(9.999999996 + 4.999999998x) + 1 = 0.666666667(9x + -3) + 5

Reorder the terms:
9.999999996 + 1 + 4.999999998x = 0.666666667(9x + -3) + 5

Combine like terms: 9.999999996 + 1 = 10.999999996
10.999999996 + 4.999999998x = 0.666666667(9x + -3) + 5

Reorder the terms:
10.999999996 + 4.999999998x = 0.666666667(-3 + 9x) + 5
10.999999996 + 4.999999998x = (-3 * 0.666666667 + 9x * 0.666666667) + 5
10.999999996 + 4.999999998x = (-2.000000001 + 6.000000003x) + 5

Reorder the terms:
10.999999996 + 4.999999998x = -2.000000001 + 5 + 6.000000003x

Combine like terms: -2.000000001 + 5 = 2.999999999
10.999999996 + 4.999999998x = 2.999999999 + 6.000000003x

Solving
10.999999996 + 4.999999998x = 2.999999999 + 6.000000003x

Solving for variable 'x'.

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

Add '-6.000000003x' to each side of the equation.
10.999999996 + 4.999999998x + -6.000000003x = 2.999999999 + 6.000000003x + -6.000000003x

Combine like terms: 4.999999998x + -6.000000003x = -1.000000005x
10.999999996 + -1.000000005x = 2.999999999 + 6.000000003x + -6.000000003x

Combine like terms: 6.000000003x + -6.000000003x = 0.000000000
10.999999996 + -1.000000005x = 2.999999999 + 0.000000000
10.999999996 + -1.000000005x = 2.999999999

Add '-10.999999996' to each side of the equation.
10.999999996 + -10.999999996 + -1.000000005x = 2.999999999 + -10.999999996

Combine like terms: 10.999999996 + -10.999999996 = 0.000000000
0.000000000 + -1.000000005x = 2.999999999 + -10.999999996
-1.000000005x = 2.999999999 + -10.999999996

Combine like terms: 2.999999999 + -10.999999996 = -7.999999997
-1.000000005x = -7.999999997

Divide each side by '-1.000000005'.
x = 7.999999957

Simplifying
x = 7.999999957

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