5x-(x+3)=0.33333333(9x+18)-5

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Solution for 5x-(x+3)=0.33333333(9x+18)-5 equation: 


Simplifying
5x + -1(x + 3) = 0.33333333(9x + 18) + -5

Reorder the terms:
5x + -1(3 + x) = 0.33333333(9x + 18) + -5
5x + (3 * -1 + x * -1) = 0.33333333(9x + 18) + -5
5x + (-3 + -1x) = 0.33333333(9x + 18) + -5

Reorder the terms:
-3 + 5x + -1x = 0.33333333(9x + 18) + -5

Combine like terms: 5x + -1x = 4x
-3 + 4x = 0.33333333(9x + 18) + -5

Reorder the terms:
-3 + 4x = 0.33333333(18 + 9x) + -5
-3 + 4x = (18 * 0.33333333 + 9x * 0.33333333) + -5
-3 + 4x = (5.99999994 + 2.99999997x) + -5

Reorder the terms:
-3 + 4x = 5.99999994 + -5 + 2.99999997x

Combine like terms: 5.99999994 + -5 = 0.99999994
-3 + 4x = 0.99999994 + 2.99999997x

Solving
-3 + 4x = 0.99999994 + 2.99999997x

Solving for variable 'x'.

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

Add '-2.99999997x' to each side of the equation.
-3 + 4x + -2.99999997x = 0.99999994 + 2.99999997x + -2.99999997x

Combine like terms: 4x + -2.99999997x = 1.00000003x
-3 + 1.00000003x = 0.99999994 + 2.99999997x + -2.99999997x

Combine like terms: 2.99999997x + -2.99999997x = 0.00000000
-3 + 1.00000003x = 0.99999994 + 0.00000000
-3 + 1.00000003x = 0.99999994

Add '3' to each side of the equation.
-3 + 3 + 1.00000003x = 0.99999994 + 3

Combine like terms: -3 + 3 = 0
0 + 1.00000003x = 0.99999994 + 3
1.00000003x = 0.99999994 + 3

Combine like terms: 0.99999994 + 3 = 3.99999994
1.00000003x = 3.99999994

Divide each side by '1.00000003'.
x = 3.99999982

Simplifying
x = 3.99999982

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