0.15x+0.9(x-4)=0.01(3x-5)

Solution for 0.15x+0.9(x-4)=0.01(3x-5) equation:

Simplifying
0.15x + 0.9(x + -4) = 0.01(3x + -5)

Reorder the terms:
0.15x + 0.9(-4 + x) = 0.01(3x + -5)
0.15x + (-4 * 0.9 + x * 0.9) = 0.01(3x + -5)
0.15x + (-3.6 + 0.9x) = 0.01(3x + -5)

Reorder the terms:
-3.6 + 0.15x + 0.9x = 0.01(3x + -5)

Combine like terms: 0.15x + 0.9x = 1.05x
-3.6 + 1.05x = 0.01(3x + -5)

Reorder the terms:
-3.6 + 1.05x = 0.01(-5 + 3x)
-3.6 + 1.05x = (-5 * 0.01 + 3x * 0.01)
-3.6 + 1.05x = (-0.05 + 0.03x)

Solving
-3.6 + 1.05x = -0.05 + 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.
-3.6 + 1.05x + -0.03x = -0.05 + 0.03x + -0.03x

Combine like terms: 1.05x + -0.03x = 1.02x
-3.6 + 1.02x = -0.05 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-3.6 + 1.02x = -0.05 + 0.00
-3.6 + 1.02x = -0.05

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1.02x = -0.05 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1.02x = -0.05 + 3.6
1.02x = -0.05 + 3.6

Combine like terms: -0.05 + 3.6 = 3.55
1.02x = 3.55

Divide each side by '1.02'.
x = 3.480392157

Simplifying
x = 3.480392157