0.11x+0.9(x-2)=0.01(5x-1)

Solution for 0.11x+0.9(x-2)=0.01(5x-1) equation:

Simplifying
0.11x + 0.9(x + -2) = 0.01(5x + -1)

Reorder the terms:
0.11x + 0.9(-2 + x) = 0.01(5x + -1)
0.11x + (-2 * 0.9 + x * 0.9) = 0.01(5x + -1)
0.11x + (-1.8 + 0.9x) = 0.01(5x + -1)

Reorder the terms:
-1.8 + 0.11x + 0.9x = 0.01(5x + -1)

Combine like terms: 0.11x + 0.9x = 1.01x
-1.8 + 1.01x = 0.01(5x + -1)

Reorder the terms:
-1.8 + 1.01x = 0.01(-1 + 5x)
-1.8 + 1.01x = (-1 * 0.01 + 5x * 0.01)
-1.8 + 1.01x = (-0.01 + 0.05x)

Solving
-1.8 + 1.01x = -0.01 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-1.8 + 1.01x + -0.05x = -0.01 + 0.05x + -0.05x

Combine like terms: 1.01x + -0.05x = 0.96x
-1.8 + 0.96x = -0.01 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.8 + 0.96x = -0.01 + 0.00
-1.8 + 0.96x = -0.01

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.96x = -0.01 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.96x = -0.01 + 1.8
0.96x = -0.01 + 1.8

Combine like terms: -0.01 + 1.8 = 1.79
0.96x = 1.79

Divide each side by '0.96'.
x = 1.864583333

Simplifying
x = 1.864583333