3.2(x+2)=6.7x-20.8

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Solution for 3.2(x+2)=6.7x-20.8 equation: 


Simplifying
3.2(x + 2) = 6.7x + -20.8

Reorder the terms:
3.2(2 + x) = 6.7x + -20.8
(2 * 3.2 + x * 3.2) = 6.7x + -20.8
(6.4 + 3.2x) = 6.7x + -20.8

Reorder the terms:
6.4 + 3.2x = -20.8 + 6.7x

Solving
6.4 + 3.2x = -20.8 + 6.7x

Solving for variable 'x'.

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

Add '-6.7x' to each side of the equation.
6.4 + 3.2x + -6.7x = -20.8 + 6.7x + -6.7x

Combine like terms: 3.2x + -6.7x = -3.5x
6.4 + -3.5x = -20.8 + 6.7x + -6.7x

Combine like terms: 6.7x + -6.7x = 0.0
6.4 + -3.5x = -20.8 + 0.0
6.4 + -3.5x = -20.8

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -3.5x = -20.8 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -3.5x = -20.8 + -6.4
-3.5x = -20.8 + -6.4

Combine like terms: -20.8 + -6.4 = -27.2
-3.5x = -27.2

Divide each side by '-3.5'.
x = 7.771428571

Simplifying
x = 7.771428571

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