0.19x+0.4(x-2)=0.01(2x-3)

Solution for 0.19x+0.4(x-2)=0.01(2x-3) equation:

Simplifying
0.19x + 0.4(x + -2) = 0.01(2x + -3)

Reorder the terms:
0.19x + 0.4(-2 + x) = 0.01(2x + -3)
0.19x + (-2 * 0.4 + x * 0.4) = 0.01(2x + -3)
0.19x + (-0.8 + 0.4x) = 0.01(2x + -3)

Reorder the terms:
-0.8 + 0.19x + 0.4x = 0.01(2x + -3)

Combine like terms: 0.19x + 0.4x = 0.59x
-0.8 + 0.59x = 0.01(2x + -3)

Reorder the terms:
-0.8 + 0.59x = 0.01(-3 + 2x)
-0.8 + 0.59x = (-3 * 0.01 + 2x * 0.01)
-0.8 + 0.59x = (-0.03 + 0.02x)

Solving
-0.8 + 0.59x = -0.03 + 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.
-0.8 + 0.59x + -0.02x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.59x + -0.02x = 0.57x
-0.8 + 0.57x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.8 + 0.57x = -0.03 + 0.00
-0.8 + 0.57x = -0.03

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.57x = -0.03 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.57x = -0.03 + 0.8
0.57x = -0.03 + 0.8

Combine like terms: -0.03 + 0.8 = 0.77
0.57x = 0.77

Divide each side by '0.57'.
x = 1.350877193

Simplifying
x = 1.350877193