.16(12-6x)=5(x+4)

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Solution for .16(12-6x)=5(x+4) equation:


Simplifying
0.16(12 + -6x) = 5(x + 4)
(12 * 0.16 + -6x * 0.16) = 5(x + 4)
(1.92 + -0.96x) = 5(x + 4)

Reorder the terms:
1.92 + -0.96x = 5(4 + x)
1.92 + -0.96x = (4 * 5 + x * 5)
1.92 + -0.96x = (20 + 5x)

Solving
1.92 + -0.96x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1.92 + -0.96x + -5x = 20 + 5x + -5x

Combine like terms: -0.96x + -5x = -5.96x
1.92 + -5.96x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
1.92 + -5.96x = 20 + 0
1.92 + -5.96x = 20

Add '-1.92' to each side of the equation.
1.92 + -1.92 + -5.96x = 20 + -1.92

Combine like terms: 1.92 + -1.92 = 0.00
0.00 + -5.96x = 20 + -1.92
-5.96x = 20 + -1.92

Combine like terms: 20 + -1.92 = 18.08
-5.96x = 18.08

Divide each side by '-5.96'.
x = -3.033557047

Simplifying
x = -3.033557047

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