0.8(x-2)=0.33(x-6)

Solution for 0.8(x-2)=0.33(x-6) equation:

Simplifying
0.8(x + -2) = 0.33(x + -6)

Reorder the terms:
0.8(-2 + x) = 0.33(x + -6)
(-2 * 0.8 + x * 0.8) = 0.33(x + -6)
(-1.6 + 0.8x) = 0.33(x + -6)

Reorder the terms:
-1.6 + 0.8x = 0.33(-6 + x)
-1.6 + 0.8x = (-6 * 0.33 + x * 0.33)
-1.6 + 0.8x = (-1.98 + 0.33x)

Solving
-1.6 + 0.8x = -1.98 + 0.33x

Solving for variable 'x'.

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

Add '-0.33x' to each side of the equation.
-1.6 + 0.8x + -0.33x = -1.98 + 0.33x + -0.33x

Combine like terms: 0.8x + -0.33x = 0.47x
-1.6 + 0.47x = -1.98 + 0.33x + -0.33x

Combine like terms: 0.33x + -0.33x = 0.00
-1.6 + 0.47x = -1.98 + 0.00
-1.6 + 0.47x = -1.98

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.47x = -1.98 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.47x = -1.98 + 1.6
0.47x = -1.98 + 1.6

Combine like terms: -1.98 + 1.6 = -0.38
0.47x = -0.38

Divide each side by '0.47'.
x = -0.8085106383

Simplifying
x = -0.8085106383