0.14x+0.4(x-4)=0.01(5x-5)

Solution for 0.14x+0.4(x-4)=0.01(5x-5) equation:

Simplifying
0.14x + 0.4(x + -4) = 0.01(5x + -5)

Reorder the terms:
0.14x + 0.4(-4 + x) = 0.01(5x + -5)
0.14x + (-4 * 0.4 + x * 0.4) = 0.01(5x + -5)
0.14x + (-1.6 + 0.4x) = 0.01(5x + -5)

Reorder the terms:
-1.6 + 0.14x + 0.4x = 0.01(5x + -5)

Combine like terms: 0.14x + 0.4x = 0.54x
-1.6 + 0.54x = 0.01(5x + -5)

Reorder the terms:
-1.6 + 0.54x = 0.01(-5 + 5x)
-1.6 + 0.54x = (-5 * 0.01 + 5x * 0.01)
-1.6 + 0.54x = (-0.05 + 0.05x)

Solving
-1.6 + 0.54x = -0.05 + 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.
-1.6 + 0.54x + -0.05x = -0.05 + 0.05x + -0.05x

Combine like terms: 0.54x + -0.05x = 0.49x
-1.6 + 0.49x = -0.05 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.6 + 0.49x = -0.05 + 0.00
-1.6 + 0.49x = -0.05

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.49x = -0.05 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.49x = -0.05 + 1.6
0.49x = -0.05 + 1.6

Combine like terms: -0.05 + 1.6 = 1.55
0.49x = 1.55

Divide each side by '0.49'.
x = 3.163265306

Simplifying
x = 3.163265306