0.6(2x+8)=4(2-4x)+14

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Solution for 0.6(2x+8)=4(2-4x)+14 equation: 


Simplifying
0.6(2x + 8) = 4(2 + -4x) + 14

Reorder the terms:
0.6(8 + 2x) = 4(2 + -4x) + 14
(8 * 0.6 + 2x * 0.6) = 4(2 + -4x) + 14
(4.8 + 1.2x) = 4(2 + -4x) + 14
4.8 + 1.2x = (2 * 4 + -4x * 4) + 14
4.8 + 1.2x = (8 + -16x) + 14

Reorder the terms:
4.8 + 1.2x = 8 + 14 + -16x

Combine like terms: 8 + 14 = 22
4.8 + 1.2x = 22 + -16x

Solving
4.8 + 1.2x = 22 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
4.8 + 1.2x + 16x = 22 + -16x + 16x

Combine like terms: 1.2x + 16x = 17.2x
4.8 + 17.2x = 22 + -16x + 16x

Combine like terms: -16x + 16x = 0
4.8 + 17.2x = 22 + 0
4.8 + 17.2x = 22

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 17.2x = 22 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 17.2x = 22 + -4.8
17.2x = 22 + -4.8

Combine like terms: 22 + -4.8 = 17.2
17.2x = 17.2

Divide each side by '17.2'.
x = 1

Simplifying
x = 1

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