0.2(x+30)-0.06(x-50)=2

Solution for 0.2(x+30)-0.06(x-50)=2 equation:

Simplifying
0.2(x + 30) + -0.06(x + -50) = 2

Reorder the terms:
0.2(30 + x) + -0.06(x + -50) = 2
(30 * 0.2 + x * 0.2) + -0.06(x + -50) = 2
(6 + 0.2x) + -0.06(x + -50) = 2

Reorder the terms:
6 + 0.2x + -0.06(-50 + x) = 2
6 + 0.2x + (-50 * -0.06 + x * -0.06) = 2
6 + 0.2x + (3 + -0.06x) = 2

Reorder the terms:
6 + 3 + 0.2x + -0.06x = 2

Combine like terms: 6 + 3 = 9
9 + 0.2x + -0.06x = 2

Combine like terms: 0.2x + -0.06x = 0.14x
9 + 0.14x = 2

Solving
9 + 0.14x = 2

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 0.14x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 0.14x = 2 + -9
0.14x = 2 + -9

Combine like terms: 2 + -9 = -7
0.14x = -7

Divide each side by '0.14'.
x = -50

Simplifying
x = -50