0.6666667(5x+1)=4(2-4x)+12

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Solution for 0.6666667(5x+1)=4(2-4x)+12 equation: 


Simplifying
0.6666667(5x + 1) = 4(2 + -4x) + 12

Reorder the terms:
0.6666667(1 + 5x) = 4(2 + -4x) + 12
(1 * 0.6666667 + 5x * 0.6666667) = 4(2 + -4x) + 12
(0.6666667 + 3.3333335x) = 4(2 + -4x) + 12
0.6666667 + 3.3333335x = (2 * 4 + -4x * 4) + 12
0.6666667 + 3.3333335x = (8 + -16x) + 12

Reorder the terms:
0.6666667 + 3.3333335x = 8 + 12 + -16x

Combine like terms: 8 + 12 = 20
0.6666667 + 3.3333335x = 20 + -16x

Solving
0.6666667 + 3.3333335x = 20 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
0.6666667 + 3.3333335x + 16x = 20 + -16x + 16x

Combine like terms: 3.3333335x + 16x = 19.3333335x
0.6666667 + 19.3333335x = 20 + -16x + 16x

Combine like terms: -16x + 16x = 0
0.6666667 + 19.3333335x = 20 + 0
0.6666667 + 19.3333335x = 20

Add '-0.6666667' to each side of the equation.
0.6666667 + -0.6666667 + 19.3333335x = 20 + -0.6666667

Combine like terms: 0.6666667 + -0.6666667 = 0.0000000
0.0000000 + 19.3333335x = 20 + -0.6666667
19.3333335x = 20 + -0.6666667

Combine like terms: 20 + -0.6666667 = 19.3333333
19.3333335x = 19.3333333

Divide each side by '19.3333335'.
x = 0.9999999897

Simplifying
x = 0.9999999897

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