0.66(5x+1)=3(1-4x)+3

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Solution for 0.66(5x+1)=3(1-4x)+3 equation: 


Simplifying
0.66(5x + 1) = 3(1 + -4x) + 3

Reorder the terms:
0.66(1 + 5x) = 3(1 + -4x) + 3
(1 * 0.66 + 5x * 0.66) = 3(1 + -4x) + 3
(0.66 + 3.3x) = 3(1 + -4x) + 3
0.66 + 3.3x = (1 * 3 + -4x * 3) + 3
0.66 + 3.3x = (3 + -12x) + 3

Reorder the terms:
0.66 + 3.3x = 3 + 3 + -12x

Combine like terms: 3 + 3 = 6
0.66 + 3.3x = 6 + -12x

Solving
0.66 + 3.3x = 6 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
0.66 + 3.3x + 12x = 6 + -12x + 12x

Combine like terms: 3.3x + 12x = 15.3x
0.66 + 15.3x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
0.66 + 15.3x = 6 + 0
0.66 + 15.3x = 6

Add '-0.66' to each side of the equation.
0.66 + -0.66 + 15.3x = 6 + -0.66

Combine like terms: 0.66 + -0.66 = 0.00
0.00 + 15.3x = 6 + -0.66
15.3x = 6 + -0.66

Combine like terms: 6 + -0.66 = 5.34
15.3x = 5.34

Divide each side by '15.3'.
x = 0.3490196078

Simplifying
x = 0.3490196078

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