.6(2x+2)=2(3-2x)+16

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Solution for .6(2x+2)=2(3-2x)+16 equation:


Simplifying
0.6(2x + 2) = 2(3 + -2x) + 16

Reorder the terms:
0.6(2 + 2x) = 2(3 + -2x) + 16
(2 * 0.6 + 2x * 0.6) = 2(3 + -2x) + 16
(1.2 + 1.2x) = 2(3 + -2x) + 16
1.2 + 1.2x = (3 * 2 + -2x * 2) + 16
1.2 + 1.2x = (6 + -4x) + 16

Reorder the terms:
1.2 + 1.2x = 6 + 16 + -4x

Combine like terms: 6 + 16 = 22
1.2 + 1.2x = 22 + -4x

Solving
1.2 + 1.2x = 22 + -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.
1.2 + 1.2x + 4x = 22 + -4x + 4x

Combine like terms: 1.2x + 4x = 5.2x
1.2 + 5.2x = 22 + -4x + 4x

Combine like terms: -4x + 4x = 0
1.2 + 5.2x = 22 + 0
1.2 + 5.2x = 22

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 5.2x = 22 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 5.2x = 22 + -1.2
5.2x = 22 + -1.2

Combine like terms: 22 + -1.2 = 20.8
5.2x = 20.8

Divide each side by '5.2'.
x = 4

Simplifying
x = 4

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