0.13x+0.2(x-1)=0.01(4x-5)

Solution for 0.13x+0.2(x-1)=0.01(4x-5) equation:

Simplifying
0.13x + 0.2(x + -1) = 0.01(4x + -5)

Reorder the terms:
0.13x + 0.2(-1 + x) = 0.01(4x + -5)
0.13x + (-1 * 0.2 + x * 0.2) = 0.01(4x + -5)
0.13x + (-0.2 + 0.2x) = 0.01(4x + -5)

Reorder the terms:
-0.2 + 0.13x + 0.2x = 0.01(4x + -5)

Combine like terms: 0.13x + 0.2x = 0.33x
-0.2 + 0.33x = 0.01(4x + -5)

Reorder the terms:
-0.2 + 0.33x = 0.01(-5 + 4x)
-0.2 + 0.33x = (-5 * 0.01 + 4x * 0.01)
-0.2 + 0.33x = (-0.05 + 0.04x)

Solving
-0.2 + 0.33x = -0.05 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-0.2 + 0.33x + -0.04x = -0.05 + 0.04x + -0.04x

Combine like terms: 0.33x + -0.04x = 0.29x
-0.2 + 0.29x = -0.05 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-0.2 + 0.29x = -0.05 + 0.00
-0.2 + 0.29x = -0.05

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.29x = -0.05 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.29x = -0.05 + 0.2
0.29x = -0.05 + 0.2

Combine like terms: -0.05 + 0.2 = 0.15
0.29x = 0.15

Divide each side by '0.29'.
x = 0.5172413793

Simplifying
x = 0.5172413793