0.13x+0.9(x-5)=0.01(5x-5)

Solution for 0.13x+0.9(x-5)=0.01(5x-5) equation:

Simplifying
0.13x + 0.9(x + -5) = 0.01(5x + -5)

Reorder the terms:
0.13x + 0.9(-5 + x) = 0.01(5x + -5)
0.13x + (-5 * 0.9 + x * 0.9) = 0.01(5x + -5)
0.13x + (-4.5 + 0.9x) = 0.01(5x + -5)

Reorder the terms:
-4.5 + 0.13x + 0.9x = 0.01(5x + -5)

Combine like terms: 0.13x + 0.9x = 1.03x
-4.5 + 1.03x = 0.01(5x + -5)

Reorder the terms:
-4.5 + 1.03x = 0.01(-5 + 5x)
-4.5 + 1.03x = (-5 * 0.01 + 5x * 0.01)
-4.5 + 1.03x = (-0.05 + 0.05x)

Solving
-4.5 + 1.03x = -0.05 + 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.
-4.5 + 1.03x + -0.05x = -0.05 + 0.05x + -0.05x

Combine like terms: 1.03x + -0.05x = 0.98x
-4.5 + 0.98x = -0.05 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-4.5 + 0.98x = -0.05 + 0.00
-4.5 + 0.98x = -0.05

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 0.98x = -0.05 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 0.98x = -0.05 + 4.5
0.98x = -0.05 + 4.5

Combine like terms: -0.05 + 4.5 = 4.45
0.98x = 4.45

Divide each side by '0.98'.
x = 4.540816327

Simplifying
x = 4.540816327