.666(4x+5)=2(2-4x)+10

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Solution for .666(4x+5)=2(2-4x)+10 equation: 


Simplifying
0.666(4x + 5) = 2(2 + -4x) + 10

Reorder the terms:
0.666(5 + 4x) = 2(2 + -4x) + 10
(5 * 0.666 + 4x * 0.666) = 2(2 + -4x) + 10
(3.33 + 2.664x) = 2(2 + -4x) + 10
3.33 + 2.664x = (2 * 2 + -4x * 2) + 10
3.33 + 2.664x = (4 + -8x) + 10

Reorder the terms:
3.33 + 2.664x = 4 + 10 + -8x

Combine like terms: 4 + 10 = 14
3.33 + 2.664x = 14 + -8x

Solving
3.33 + 2.664x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3.33 + 2.664x + 8x = 14 + -8x + 8x

Combine like terms: 2.664x + 8x = 10.664x
3.33 + 10.664x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
3.33 + 10.664x = 14 + 0
3.33 + 10.664x = 14

Add '-3.33' to each side of the equation.
3.33 + -3.33 + 10.664x = 14 + -3.33

Combine like terms: 3.33 + -3.33 = 0.00
0.00 + 10.664x = 14 + -3.33
10.664x = 14 + -3.33

Combine like terms: 14 + -3.33 = 10.67
10.664x = 10.67

Divide each side by '10.664'.
x = 1.000562641

Simplifying
x = 1.000562641

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