0.13x+0.2(x-3)=0.01(5x-2)

Solution for 0.13x+0.2(x-3)=0.01(5x-2) equation:

Simplifying
0.13x + 0.2(x + -3) = 0.01(5x + -2)

Reorder the terms:
0.13x + 0.2(-3 + x) = 0.01(5x + -2)
0.13x + (-3 * 0.2 + x * 0.2) = 0.01(5x + -2)
0.13x + (-0.6 + 0.2x) = 0.01(5x + -2)

Reorder the terms:
-0.6 + 0.13x + 0.2x = 0.01(5x + -2)

Combine like terms: 0.13x + 0.2x = 0.33x
-0.6 + 0.33x = 0.01(5x + -2)

Reorder the terms:
-0.6 + 0.33x = 0.01(-2 + 5x)
-0.6 + 0.33x = (-2 * 0.01 + 5x * 0.01)
-0.6 + 0.33x = (-0.02 + 0.05x)

Solving
-0.6 + 0.33x = -0.02 + 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.
-0.6 + 0.33x + -0.05x = -0.02 + 0.05x + -0.05x

Combine like terms: 0.33x + -0.05x = 0.28x
-0.6 + 0.28x = -0.02 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-0.6 + 0.28x = -0.02 + 0.00
-0.6 + 0.28x = -0.02

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.28x = -0.02 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.28x = -0.02 + 0.6
0.28x = -0.02 + 0.6

Combine like terms: -0.02 + 0.6 = 0.58
0.28x = 0.58

Divide each side by '0.28'.
x = 2.071428571

Simplifying
x = 2.071428571