.16x+.8(x-2)=.01(5x-3)

Solution for .16x+.8(x-2)=.01(5x-3) equation:

Simplifying
0.16x + 0.8(x + -2) = 0.01(5x + -3)

Reorder the terms:
0.16x + 0.8(-2 + x) = 0.01(5x + -3)
0.16x + (-2 * 0.8 + x * 0.8) = 0.01(5x + -3)
0.16x + (-1.6 + 0.8x) = 0.01(5x + -3)

Reorder the terms:
-1.6 + 0.16x + 0.8x = 0.01(5x + -3)

Combine like terms: 0.16x + 0.8x = 0.96x
-1.6 + 0.96x = 0.01(5x + -3)

Reorder the terms:
-1.6 + 0.96x = 0.01(-3 + 5x)
-1.6 + 0.96x = (-3 * 0.01 + 5x * 0.01)
-1.6 + 0.96x = (-0.03 + 0.05x)

Solving
-1.6 + 0.96x = -0.03 + 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 + 0.96x + -0.05x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.96x + -0.05x = 0.91x
-1.6 + 0.91x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.6 + 0.91x = -0.03 + 0.00
-1.6 + 0.91x = -0.03

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.91x = -0.03 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.91x = -0.03 + 1.6
0.91x = -0.03 + 1.6

Combine like terms: -0.03 + 1.6 = 1.57
0.91x = 1.57

Divide each side by '0.91'.
x = 1.725274725

Simplifying
x = 1.725274725