.17x+.3(x-5)=.01(2x-1)

Solution for .17x+.3(x-5)=.01(2x-1) equation:

Simplifying
0.17x + 0.3(x + -5) = 0.01(2x + -1)

Reorder the terms:
0.17x + 0.3(-5 + x) = 0.01(2x + -1)
0.17x + (-5 * 0.3 + x * 0.3) = 0.01(2x + -1)
0.17x + (-1.5 + 0.3x) = 0.01(2x + -1)

Reorder the terms:
-1.5 + 0.17x + 0.3x = 0.01(2x + -1)

Combine like terms: 0.17x + 0.3x = 0.47x
-1.5 + 0.47x = 0.01(2x + -1)

Reorder the terms:
-1.5 + 0.47x = 0.01(-1 + 2x)
-1.5 + 0.47x = (-1 * 0.01 + 2x * 0.01)
-1.5 + 0.47x = (-0.01 + 0.02x)

Solving
-1.5 + 0.47x = -0.01 + 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.
-1.5 + 0.47x + -0.02x = -0.01 + 0.02x + -0.02x

Combine like terms: 0.47x + -0.02x = 0.45x
-1.5 + 0.45x = -0.01 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-1.5 + 0.45x = -0.01 + 0.00
-1.5 + 0.45x = -0.01

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.45x = -0.01 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.45x = -0.01 + 1.5
0.45x = -0.01 + 1.5

Combine like terms: -0.01 + 1.5 = 1.49
0.45x = 1.49

Divide each side by '0.45'.
x = 3.311111111

Simplifying
x = 3.311111111