1.2(x+5)=1.6(2x+8)

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Solution for 1.2(x+5)=1.6(2x+8) equation: 


Simplifying
1.2(x + 5) = 1.6(2x + 8)

Reorder the terms:
1.2(5 + x) = 1.6(2x + 8)
(5 * 1.2 + x * 1.2) = 1.6(2x + 8)
(6 + 1.2x) = 1.6(2x + 8)

Reorder the terms:
6 + 1.2x = 1.6(8 + 2x)
6 + 1.2x = (8 * 1.6 + 2x * 1.6)
6 + 1.2x = (12.8 + 3.2x)

Solving
6 + 1.2x = 12.8 + 3.2x

Solving for variable 'x'.

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

Add '-3.2x' to each side of the equation.
6 + 1.2x + -3.2x = 12.8 + 3.2x + -3.2x

Combine like terms: 1.2x + -3.2x = -2x
6 + -2x = 12.8 + 3.2x + -3.2x

Combine like terms: 3.2x + -3.2x = 0.0
6 + -2x = 12.8 + 0.0
6 + -2x = 12.8

Add '-6' to each side of the equation.
6 + -6 + -2x = 12.8 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 12.8 + -6
-2x = 12.8 + -6

Combine like terms: 12.8 + -6 = 6.8
-2x = 6.8

Divide each side by '-2'.
x = -3.4

Simplifying
x = -3.4

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