0.13x+0.3(x-2)=0.01(2x-5)

Solution for 0.13x+0.3(x-2)=0.01(2x-5) equation:

Simplifying
0.13x + 0.3(x + -2) = 0.01(2x + -5)

Reorder the terms:
0.13x + 0.3(-2 + x) = 0.01(2x + -5)
0.13x + (-2 * 0.3 + x * 0.3) = 0.01(2x + -5)
0.13x + (-0.6 + 0.3x) = 0.01(2x + -5)

Reorder the terms:
-0.6 + 0.13x + 0.3x = 0.01(2x + -5)

Combine like terms: 0.13x + 0.3x = 0.43x
-0.6 + 0.43x = 0.01(2x + -5)

Reorder the terms:
-0.6 + 0.43x = 0.01(-5 + 2x)
-0.6 + 0.43x = (-5 * 0.01 + 2x * 0.01)
-0.6 + 0.43x = (-0.05 + 0.02x)

Solving
-0.6 + 0.43x = -0.05 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-0.6 + 0.43x + -0.02x = -0.05 + 0.02x + -0.02x

Combine like terms: 0.43x + -0.02x = 0.41x
-0.6 + 0.41x = -0.05 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.6 + 0.41x = -0.05 + 0.00
-0.6 + 0.41x = -0.05

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.41x = -0.05 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.41x = -0.05 + 0.6
0.41x = -0.05 + 0.6

Combine like terms: -0.05 + 0.6 = 0.55
0.41x = 0.55

Divide each side by '0.41'.
x = 1.341463415

Simplifying
x = 1.341463415