0.11x+0.9(x-4)=0.01(4x-2)

Solution for 0.11x+0.9(x-4)=0.01(4x-2) equation:

Simplifying
0.11x + 0.9(x + -4) = 0.01(4x + -2)

Reorder the terms:
0.11x + 0.9(-4 + x) = 0.01(4x + -2)
0.11x + (-4 * 0.9 + x * 0.9) = 0.01(4x + -2)
0.11x + (-3.6 + 0.9x) = 0.01(4x + -2)

Reorder the terms:
-3.6 + 0.11x + 0.9x = 0.01(4x + -2)

Combine like terms: 0.11x + 0.9x = 1.01x
-3.6 + 1.01x = 0.01(4x + -2)

Reorder the terms:
-3.6 + 1.01x = 0.01(-2 + 4x)
-3.6 + 1.01x = (-2 * 0.01 + 4x * 0.01)
-3.6 + 1.01x = (-0.02 + 0.04x)

Solving
-3.6 + 1.01x = -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 + 1.01x + -0.04x = -0.02 + 0.04x + -0.04x

Combine like terms: 1.01x + -0.04x = 0.97x
-3.6 + 0.97x = -0.02 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-3.6 + 0.97x = -0.02 + 0.00
-3.6 + 0.97x = -0.02

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 0.97x = -0.02 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 0.97x = -0.02 + 3.6
0.97x = -0.02 + 3.6

Combine like terms: -0.02 + 3.6 = 3.58
0.97x = 3.58

Divide each side by '0.97'.
x = 3.690721649

Simplifying
x = 3.690721649