0.17x+0.4(x-4)=0.01(2x-3)

Solution for 0.17x+0.4(x-4)=0.01(2x-3) equation:

Simplifying
0.17x + 0.4(x + -4) = 0.01(2x + -3)

Reorder the terms:
0.17x + 0.4(-4 + x) = 0.01(2x + -3)
0.17x + (-4 * 0.4 + x * 0.4) = 0.01(2x + -3)
0.17x + (-1.6 + 0.4x) = 0.01(2x + -3)

Reorder the terms:
-1.6 + 0.17x + 0.4x = 0.01(2x + -3)

Combine like terms: 0.17x + 0.4x = 0.57x
-1.6 + 0.57x = 0.01(2x + -3)

Reorder the terms:
-1.6 + 0.57x = 0.01(-3 + 2x)
-1.6 + 0.57x = (-3 * 0.01 + 2x * 0.01)
-1.6 + 0.57x = (-0.03 + 0.02x)

Solving
-1.6 + 0.57x = -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.
-1.6 + 0.57x + -0.02x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.57x + -0.02x = 0.55x
-1.6 + 0.55x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-1.6 + 0.55x = -0.03 + 0.00
-1.6 + 0.55x = -0.03

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.55x = -0.03 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.55x = -0.03 + 1.6
0.55x = -0.03 + 1.6

Combine like terms: -0.03 + 1.6 = 1.57
0.55x = 1.57

Divide each side by '0.55'.
x = 2.854545455

Simplifying
x = 2.854545455