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

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


Simplifying
0.16(x + 4) = 0.6(x + -5)

Reorder the terms:
0.16(4 + x) = 0.6(x + -5)
(4 * 0.16 + x * 0.16) = 0.6(x + -5)
(0.64 + 0.16x) = 0.6(x + -5)

Reorder the terms:
0.64 + 0.16x = 0.6(-5 + x)
0.64 + 0.16x = (-5 * 0.6 + x * 0.6)
0.64 + 0.16x = (-3 + 0.6x)

Solving
0.64 + 0.16x = -3 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
0.64 + 0.16x + -0.6x = -3 + 0.6x + -0.6x

Combine like terms: 0.16x + -0.6x = -0.44x
0.64 + -0.44x = -3 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
0.64 + -0.44x = -3 + 0.0
0.64 + -0.44x = -3

Add '-0.64' to each side of the equation.
0.64 + -0.64 + -0.44x = -3 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -0.44x = -3 + -0.64
-0.44x = -3 + -0.64

Combine like terms: -3 + -0.64 = -3.64
-0.44x = -3.64

Divide each side by '-0.44'.
x = 8.272727273

Simplifying
x = 8.272727273

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