5.8(x-2)=-.02x+18.4

Solution for 5.8(x-2)=-.02x+18.4 equation:

Simplifying
5.8(x + -2) = -0.02x + 18.4

Reorder the terms:
5.8(-2 + x) = -0.02x + 18.4
(-2 * 5.8 + x * 5.8) = -0.02x + 18.4
(-11.6 + 5.8x) = -0.02x + 18.4

Reorder the terms:
-11.6 + 5.8x = 18.4 + -0.02x

Solving
-11.6 + 5.8x = 18.4 + -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.
-11.6 + 5.8x + 0.02x = 18.4 + -0.02x + 0.02x

Combine like terms: 5.8x + 0.02x = 5.82x
-11.6 + 5.82x = 18.4 + -0.02x + 0.02x

Combine like terms: -0.02x + 0.02x = 0.00
-11.6 + 5.82x = 18.4 + 0.00
-11.6 + 5.82x = 18.4

Add '11.6' to each side of the equation.
-11.6 + 11.6 + 5.82x = 18.4 + 11.6

Combine like terms: -11.6 + 11.6 = 0.0
0.0 + 5.82x = 18.4 + 11.6
5.82x = 18.4 + 11.6

Combine like terms: 18.4 + 11.6 = 30
5.82x = 30

Divide each side by '5.82'.
x = 5.154639175

Simplifying
x = 5.154639175