7x-1.66(1-x)=6-2(1.33x+4)

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Solution for 7x-1.66(1-x)=6-2(1.33x+4) equation:


Simplifying
7x + -1.66(1 + -1x) = 6 + -2(1.33x + 4)
7x + (1 * -1.66 + -1x * -1.66) = 6 + -2(1.33x + 4)
7x + (-1.66 + 1.66x) = 6 + -2(1.33x + 4)

Reorder the terms:
-1.66 + 7x + 1.66x = 6 + -2(1.33x + 4)

Combine like terms: 7x + 1.66x = 8.66x
-1.66 + 8.66x = 6 + -2(1.33x + 4)

Reorder the terms:
-1.66 + 8.66x = 6 + -2(4 + 1.33x)
-1.66 + 8.66x = 6 + (4 * -2 + 1.33x * -2)
-1.66 + 8.66x = 6 + (-8 + -2.66x)

Combine like terms: 6 + -8 = -2
-1.66 + 8.66x = -2 + -2.66x

Solving
-1.66 + 8.66x = -2 + -2.66x

Solving for variable 'x'.

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

Add '2.66x' to each side of the equation.
-1.66 + 8.66x + 2.66x = -2 + -2.66x + 2.66x

Combine like terms: 8.66x + 2.66x = 11.32x
-1.66 + 11.32x = -2 + -2.66x + 2.66x

Combine like terms: -2.66x + 2.66x = 0.00
-1.66 + 11.32x = -2 + 0.00
-1.66 + 11.32x = -2

Add '1.66' to each side of the equation.
-1.66 + 1.66 + 11.32x = -2 + 1.66

Combine like terms: -1.66 + 1.66 = 0.00
0.00 + 11.32x = -2 + 1.66
11.32x = -2 + 1.66

Combine like terms: -2 + 1.66 = -0.34
11.32x = -0.34

Divide each side by '11.32'.
x = -0.03003533569

Simplifying
x = -0.03003533569

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