.66(4x+1)=2(2-2x)+10

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Solution for .66(4x+1)=2(2-2x)+10 equation: 


Simplifying
0.66(4x + 1) = 2(2 + -2x) + 10

Reorder the terms:
0.66(1 + 4x) = 2(2 + -2x) + 10
(1 * 0.66 + 4x * 0.66) = 2(2 + -2x) + 10
(0.66 + 2.64x) = 2(2 + -2x) + 10
0.66 + 2.64x = (2 * 2 + -2x * 2) + 10
0.66 + 2.64x = (4 + -4x) + 10

Reorder the terms:
0.66 + 2.64x = 4 + 10 + -4x

Combine like terms: 4 + 10 = 14
0.66 + 2.64x = 14 + -4x

Solving
0.66 + 2.64x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
0.66 + 2.64x + 4x = 14 + -4x + 4x

Combine like terms: 2.64x + 4x = 6.64x
0.66 + 6.64x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
0.66 + 6.64x = 14 + 0
0.66 + 6.64x = 14

Add '-0.66' to each side of the equation.
0.66 + -0.66 + 6.64x = 14 + -0.66

Combine like terms: 0.66 + -0.66 = 0.00
0.00 + 6.64x = 14 + -0.66
6.64x = 14 + -0.66

Combine like terms: 14 + -0.66 = 13.34
6.64x = 13.34

Divide each side by '6.64'.
x = 2.009036145

Simplifying
x = 2.009036145

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