.19x+.9(x-4)=.01(4x-2)

Solution for .19x+.9(x-4)=.01(4x-2) equation:

Simplifying
0.19x + 0.9(x + -4) = 0.01(4x + -2)

Reorder the terms:
0.19x + 0.9(-4 + x) = 0.01(4x + -2)
0.19x + (-4 * 0.9 + x * 0.9) = 0.01(4x + -2)
0.19x + (-3.6 + 0.9x) = 0.01(4x + -2)

Reorder the terms:
-3.6 + 0.19x + 0.9x = 0.01(4x + -2)

Combine like terms: 0.19x + 0.9x = 1.09x
-3.6 + 1.09x = 0.01(4x + -2)

Reorder the terms:
-3.6 + 1.09x = 0.01(-2 + 4x)
-3.6 + 1.09x = (-2 * 0.01 + 4x * 0.01)
-3.6 + 1.09x = (-0.02 + 0.04x)

Solving
-3.6 + 1.09x = -0.02 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-3.6 + 1.09x + -0.04x = -0.02 + 0.04x + -0.04x

Combine like terms: 1.09x + -0.04x = 1.05x
-3.6 + 1.05x = -0.02 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-3.6 + 1.05x = -0.02 + 0.00
-3.6 + 1.05x = -0.02

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1.05x = -0.02 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1.05x = -0.02 + 3.6
1.05x = -0.02 + 3.6

Combine like terms: -0.02 + 3.6 = 3.58
1.05x = 3.58

Divide each side by '1.05'.
x = 3.40952381

Simplifying
x = 3.40952381