0.16x+0.8(x-4)=0.01(5x-4)

Solution for 0.16x+0.8(x-4)=0.01(5x-4) equation:

Simplifying
0.16x + 0.8(x + -4) = 0.01(5x + -4)

Reorder the terms:
0.16x + 0.8(-4 + x) = 0.01(5x + -4)
0.16x + (-4 * 0.8 + x * 0.8) = 0.01(5x + -4)
0.16x + (-3.2 + 0.8x) = 0.01(5x + -4)

Reorder the terms:
-3.2 + 0.16x + 0.8x = 0.01(5x + -4)

Combine like terms: 0.16x + 0.8x = 0.96x
-3.2 + 0.96x = 0.01(5x + -4)

Reorder the terms:
-3.2 + 0.96x = 0.01(-4 + 5x)
-3.2 + 0.96x = (-4 * 0.01 + 5x * 0.01)
-3.2 + 0.96x = (-0.04 + 0.05x)

Solving
-3.2 + 0.96x = -0.04 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-3.2 + 0.96x + -0.05x = -0.04 + 0.05x + -0.05x

Combine like terms: 0.96x + -0.05x = 0.91x
-3.2 + 0.91x = -0.04 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-3.2 + 0.91x = -0.04 + 0.00
-3.2 + 0.91x = -0.04

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 0.91x = -0.04 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 0.91x = -0.04 + 3.2
0.91x = -0.04 + 3.2

Combine like terms: -0.04 + 3.2 = 3.16
0.91x = 3.16

Divide each side by '0.91'.
x = 3.472527473

Simplifying
x = 3.472527473