0.16x+0.6(x-5)=0.01(3x-1)

Solution for 0.16x+0.6(x-5)=0.01(3x-1) equation:

Simplifying
0.16x + 0.6(x + -5) = 0.01(3x + -1)

Reorder the terms:
0.16x + 0.6(-5 + x) = 0.01(3x + -1)
0.16x + (-5 * 0.6 + x * 0.6) = 0.01(3x + -1)
0.16x + (-3 + 0.6x) = 0.01(3x + -1)

Reorder the terms:
-3 + 0.16x + 0.6x = 0.01(3x + -1)

Combine like terms: 0.16x + 0.6x = 0.76x
-3 + 0.76x = 0.01(3x + -1)

Reorder the terms:
-3 + 0.76x = 0.01(-1 + 3x)
-3 + 0.76x = (-1 * 0.01 + 3x * 0.01)
-3 + 0.76x = (-0.01 + 0.03x)

Solving
-3 + 0.76x = -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.
-3 + 0.76x + -0.03x = -0.01 + 0.03x + -0.03x

Combine like terms: 0.76x + -0.03x = 0.73x
-3 + 0.73x = -0.01 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-3 + 0.73x = -0.01 + 0.00
-3 + 0.73x = -0.01

Add '3' to each side of the equation.
-3 + 3 + 0.73x = -0.01 + 3

Combine like terms: -3 + 3 = 0
0 + 0.73x = -0.01 + 3
0.73x = -0.01 + 3

Combine like terms: -0.01 + 3 = 2.99
0.73x = 2.99

Divide each side by '0.73'.
x = 4.095890411

Simplifying
x = 4.095890411