0.15x+0.6(x-3)=0.01(3x-1)

Solution for 0.15x+0.6(x-3)=0.01(3x-1) equation:

Simplifying
0.15x + 0.6(x + -3) = 0.01(3x + -1)

Reorder the terms:
0.15x + 0.6(-3 + x) = 0.01(3x + -1)
0.15x + (-3 * 0.6 + x * 0.6) = 0.01(3x + -1)
0.15x + (-1.8 + 0.6x) = 0.01(3x + -1)

Reorder the terms:
-1.8 + 0.15x + 0.6x = 0.01(3x + -1)

Combine like terms: 0.15x + 0.6x = 0.75x
-1.8 + 0.75x = 0.01(3x + -1)

Reorder the terms:
-1.8 + 0.75x = 0.01(-1 + 3x)
-1.8 + 0.75x = (-1 * 0.01 + 3x * 0.01)
-1.8 + 0.75x = (-0.01 + 0.03x)

Solving
-1.8 + 0.75x = -0.01 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-1.8 + 0.75x + -0.03x = -0.01 + 0.03x + -0.03x

Combine like terms: 0.75x + -0.03x = 0.72x
-1.8 + 0.72x = -0.01 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-1.8 + 0.72x = -0.01 + 0.00
-1.8 + 0.72x = -0.01

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.72x = -0.01 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.72x = -0.01 + 1.8
0.72x = -0.01 + 1.8

Combine like terms: -0.01 + 1.8 = 1.79
0.72x = 1.79

Divide each side by '0.72'.
x = 2.486111111

Simplifying
x = 2.486111111