0.15x+0.6(x-1)=0.01(3x-4)

Solution for 0.15x+0.6(x-1)=0.01(3x-4) equation:

Simplifying
0.15x + 0.6(x + -1) = 0.01(3x + -4)

Reorder the terms:
0.15x + 0.6(-1 + x) = 0.01(3x + -4)
0.15x + (-1 * 0.6 + x * 0.6) = 0.01(3x + -4)
0.15x + (-0.6 + 0.6x) = 0.01(3x + -4)

Reorder the terms:
-0.6 + 0.15x + 0.6x = 0.01(3x + -4)

Combine like terms: 0.15x + 0.6x = 0.75x
-0.6 + 0.75x = 0.01(3x + -4)

Reorder the terms:
-0.6 + 0.75x = 0.01(-4 + 3x)
-0.6 + 0.75x = (-4 * 0.01 + 3x * 0.01)
-0.6 + 0.75x = (-0.04 + 0.03x)

Solving
-0.6 + 0.75x = -0.04 + 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.
-0.6 + 0.75x + -0.03x = -0.04 + 0.03x + -0.03x

Combine like terms: 0.75x + -0.03x = 0.72x
-0.6 + 0.72x = -0.04 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-0.6 + 0.72x = -0.04 + 0.00
-0.6 + 0.72x = -0.04

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.72x = -0.04 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.72x = -0.04 + 0.6
0.72x = -0.04 + 0.6

Combine like terms: -0.04 + 0.6 = 0.56
0.72x = 0.56

Divide each side by '0.72'.
x = 0.7777777778

Simplifying
x = 0.7777777778