0.11x+0.8(x-2)=0.01(5x-1)

Solution for 0.11x+0.8(x-2)=0.01(5x-1) equation:

Simplifying
0.11x + 0.8(x + -2) = 0.01(5x + -1)

Reorder the terms:
0.11x + 0.8(-2 + x) = 0.01(5x + -1)
0.11x + (-2 * 0.8 + x * 0.8) = 0.01(5x + -1)
0.11x + (-1.6 + 0.8x) = 0.01(5x + -1)

Reorder the terms:
-1.6 + 0.11x + 0.8x = 0.01(5x + -1)

Combine like terms: 0.11x + 0.8x = 0.91x
-1.6 + 0.91x = 0.01(5x + -1)

Reorder the terms:
-1.6 + 0.91x = 0.01(-1 + 5x)
-1.6 + 0.91x = (-1 * 0.01 + 5x * 0.01)
-1.6 + 0.91x = (-0.01 + 0.05x)

Solving
-1.6 + 0.91x = -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.
-1.6 + 0.91x + -0.05x = -0.01 + 0.05x + -0.05x

Combine like terms: 0.91x + -0.05x = 0.86x
-1.6 + 0.86x = -0.01 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.6 + 0.86x = -0.01 + 0.00
-1.6 + 0.86x = -0.01

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.86x = -0.01 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.86x = -0.01 + 1.6
0.86x = -0.01 + 1.6

Combine like terms: -0.01 + 1.6 = 1.59
0.86x = 1.59

Divide each side by '0.86'.
x = 1.848837209

Simplifying
x = 1.848837209