.11x+.6(x-1)=.01(3x-5)

Solution for .11x+.6(x-1)=.01(3x-5) equation:

Simplifying
0.11x + 0.6(x + -1) = 0.01(3x + -5)

Reorder the terms:
0.11x + 0.6(-1 + x) = 0.01(3x + -5)
0.11x + (-1 * 0.6 + x * 0.6) = 0.01(3x + -5)
0.11x + (-0.6 + 0.6x) = 0.01(3x + -5)

Reorder the terms:
-0.6 + 0.11x + 0.6x = 0.01(3x + -5)

Combine like terms: 0.11x + 0.6x = 0.71x
-0.6 + 0.71x = 0.01(3x + -5)

Reorder the terms:
-0.6 + 0.71x = 0.01(-5 + 3x)
-0.6 + 0.71x = (-5 * 0.01 + 3x * 0.01)
-0.6 + 0.71x = (-0.05 + 0.03x)

Solving
-0.6 + 0.71x = -0.05 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-0.6 + 0.71x + -0.03x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.71x + -0.03x = 0.68x
-0.6 + 0.68x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-0.6 + 0.68x = -0.05 + 0.00
-0.6 + 0.68x = -0.05

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.68x = -0.05 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.68x = -0.05 + 0.6
0.68x = -0.05 + 0.6

Combine like terms: -0.05 + 0.6 = 0.55
0.68x = 0.55

Divide each side by '0.68'.
x = 0.8088235294

Simplifying
x = 0.8088235294