.6-.01(x+1)=.02(x-2)

Solution for .6-.01(x+1)=.02(x-2) equation:

Simplifying
0.6 + -0.01(x + 1) = 0.02(x + -2)

Reorder the terms:
0.6 + -0.01(1 + x) = 0.02(x + -2)
0.6 + (1 * -0.01 + x * -0.01) = 0.02(x + -2)
0.6 + (-0.01 + -0.01x) = 0.02(x + -2)

Combine like terms: 0.6 + -0.01 = 0.59
0.59 + -0.01x = 0.02(x + -2)

Reorder the terms:
0.59 + -0.01x = 0.02(-2 + x)
0.59 + -0.01x = (-2 * 0.02 + x * 0.02)
0.59 + -0.01x = (-0.04 + 0.02x)

Solving
0.59 + -0.01x = -0.04 + 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.
0.59 + -0.01x + -0.02x = -0.04 + 0.02x + -0.02x

Combine like terms: -0.01x + -0.02x = -0.03x
0.59 + -0.03x = -0.04 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
0.59 + -0.03x = -0.04 + 0.00
0.59 + -0.03x = -0.04

Add '-0.59' to each side of the equation.
0.59 + -0.59 + -0.03x = -0.04 + -0.59

Combine like terms: 0.59 + -0.59 = 0.00
0.00 + -0.03x = -0.04 + -0.59
-0.03x = -0.04 + -0.59

Combine like terms: -0.04 + -0.59 = -0.63
-0.03x = -0.63

Divide each side by '-0.03'.
x = 21

Simplifying
x = 21