1.32(2x+6)=7(.66x-.2)

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Solution for 1.32(2x+6)=7(.66x-.2) equation: 


Simplifying
1.32(2x + 6) = 7(0.66x + -0.2)

Reorder the terms:
1.32(6 + 2x) = 7(0.66x + -0.2)
(6 * 1.32 + 2x * 1.32) = 7(0.66x + -0.2)
(7.92 + 2.64x) = 7(0.66x + -0.2)

Reorder the terms:
7.92 + 2.64x = 7(-0.2 + 0.66x)
7.92 + 2.64x = (-0.2 * 7 + 0.66x * 7)
7.92 + 2.64x = (-1.4 + 4.62x)

Solving
7.92 + 2.64x = -1.4 + 4.62x

Solving for variable 'x'.

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

Add '-4.62x' to each side of the equation.
7.92 + 2.64x + -4.62x = -1.4 + 4.62x + -4.62x

Combine like terms: 2.64x + -4.62x = -1.98x
7.92 + -1.98x = -1.4 + 4.62x + -4.62x

Combine like terms: 4.62x + -4.62x = 0.00
7.92 + -1.98x = -1.4 + 0.00
7.92 + -1.98x = -1.4

Add '-7.92' to each side of the equation.
7.92 + -7.92 + -1.98x = -1.4 + -7.92

Combine like terms: 7.92 + -7.92 = 0.00
0.00 + -1.98x = -1.4 + -7.92
-1.98x = -1.4 + -7.92

Combine like terms: -1.4 + -7.92 = -9.32
-1.98x = -9.32

Divide each side by '-1.98'.
x = 4.707070707

Simplifying
x = 4.707070707

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