.16x+.6(x-1)=.01(2x-5)

Solution for .16x+.6(x-1)=.01(2x-5) equation:

Simplifying
0.16x + 0.6(x + -1) = 0.01(2x + -5)

Reorder the terms:
0.16x + 0.6(-1 + x) = 0.01(2x + -5)
0.16x + (-1 * 0.6 + x * 0.6) = 0.01(2x + -5)
0.16x + (-0.6 + 0.6x) = 0.01(2x + -5)

Reorder the terms:
-0.6 + 0.16x + 0.6x = 0.01(2x + -5)

Combine like terms: 0.16x + 0.6x = 0.76x
-0.6 + 0.76x = 0.01(2x + -5)

Reorder the terms:
-0.6 + 0.76x = 0.01(-5 + 2x)
-0.6 + 0.76x = (-5 * 0.01 + 2x * 0.01)
-0.6 + 0.76x = (-0.05 + 0.02x)

Solving
-0.6 + 0.76x = -0.05 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-0.6 + 0.76x + -0.02x = -0.05 + 0.02x + -0.02x

Combine like terms: 0.76x + -0.02x = 0.74x
-0.6 + 0.74x = -0.05 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.6 + 0.74x = -0.05 + 0.00
-0.6 + 0.74x = -0.05

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.74x = -0.05 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.74x = -0.05 + 0.6
0.74x = -0.05 + 0.6

Combine like terms: -0.05 + 0.6 = 0.55
0.74x = 0.55

Divide each side by '0.74'.
x = 0.7432432432

Simplifying
x = 0.7432432432