0.66(4x+5)=4(4-3x)+2

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Solution for 0.66(4x+5)=4(4-3x)+2 equation: 


Simplifying
0.66(4x + 5) = 4(4 + -3x) + 2

Reorder the terms:
0.66(5 + 4x) = 4(4 + -3x) + 2
(5 * 0.66 + 4x * 0.66) = 4(4 + -3x) + 2
(3.3 + 2.64x) = 4(4 + -3x) + 2
3.3 + 2.64x = (4 * 4 + -3x * 4) + 2
3.3 + 2.64x = (16 + -12x) + 2

Reorder the terms:
3.3 + 2.64x = 16 + 2 + -12x

Combine like terms: 16 + 2 = 18
3.3 + 2.64x = 18 + -12x

Solving
3.3 + 2.64x = 18 + -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.
3.3 + 2.64x + 12x = 18 + -12x + 12x

Combine like terms: 2.64x + 12x = 14.64x
3.3 + 14.64x = 18 + -12x + 12x

Combine like terms: -12x + 12x = 0
3.3 + 14.64x = 18 + 0
3.3 + 14.64x = 18

Add '-3.3' to each side of the equation.
3.3 + -3.3 + 14.64x = 18 + -3.3

Combine like terms: 3.3 + -3.3 = 0.0
0.0 + 14.64x = 18 + -3.3
14.64x = 18 + -3.3

Combine like terms: 18 + -3.3 = 14.7
14.64x = 14.7

Divide each side by '14.64'.
x = 1.004098361

Simplifying
x = 1.004098361

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