.16(6)+.4x=.8(12+x)

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Solution for .16(6)+.4x=.8(12+x) equation: 


Simplifying
0.16(6) + 0.4x = 0.8(12 + x)

Multiply 0.16 * 6
0.96 + 0.4x = 0.8(12 + x)
0.96 + 0.4x = (12 * 0.8 + x * 0.8)
0.96 + 0.4x = (9.6 + 0.8x)

Solving
0.96 + 0.4x = 9.6 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
0.96 + 0.4x + -0.8x = 9.6 + 0.8x + -0.8x

Combine like terms: 0.4x + -0.8x = -0.4x
0.96 + -0.4x = 9.6 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.96 + -0.4x = 9.6 + 0.0
0.96 + -0.4x = 9.6

Add '-0.96' to each side of the equation.
0.96 + -0.96 + -0.4x = 9.6 + -0.96

Combine like terms: 0.96 + -0.96 = 0.00
0.00 + -0.4x = 9.6 + -0.96
-0.4x = 9.6 + -0.96

Combine like terms: 9.6 + -0.96 = 8.64
-0.4x = 8.64

Divide each side by '-0.4'.
x = -21.6

Simplifying
x = -21.6

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