.16(x-5)=.50(x+6)

Solution for .16(x-5)=.50(x+6) equation:

Simplifying
0.16(x + -5) = 0.50(x + 6)

Reorder the terms:
0.16(-5 + x) = 0.50(x + 6)
(-5 * 0.16 + x * 0.16) = 0.50(x + 6)
(-0.8 + 0.16x) = 0.50(x + 6)

Reorder the terms:
-0.8 + 0.16x = 0.50(6 + x)
-0.8 + 0.16x = (6 * 0.50 + x * 0.50)
-0.8 + 0.16x = (3 + 0.50x)

Solving
-0.8 + 0.16x = 3 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
-0.8 + 0.16x + -0.50x = 3 + 0.50x + -0.50x

Combine like terms: 0.16x + -0.50x = -0.34x
-0.8 + -0.34x = 3 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
-0.8 + -0.34x = 3 + 0.00
-0.8 + -0.34x = 3

Add '0.8' to each side of the equation.
-0.8 + 0.8 + -0.34x = 3 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + -0.34x = 3 + 0.8
-0.34x = 3 + 0.8

Combine like terms: 3 + 0.8 = 3.8
-0.34x = 3.8

Divide each side by '-0.34'.
x = -11.17647059

Simplifying
x = -11.17647059