0.13-0.002(x+3)=0.01(2-x)

Solution for 0.13-0.002(x+3)=0.01(2-x) equation:

Simplifying
0.13 + -0.002(x + 3) = 0.01(2 + -1x)

Reorder the terms:
0.13 + -0.002(3 + x) = 0.01(2 + -1x)
0.13 + (3 * -0.002 + x * -0.002) = 0.01(2 + -1x)
0.13 + (-0.006 + -0.002x) = 0.01(2 + -1x)

Combine like terms: 0.13 + -0.006 = 0.124
0.124 + -0.002x = 0.01(2 + -1x)
0.124 + -0.002x = (2 * 0.01 + -1x * 0.01)
0.124 + -0.002x = (0.02 + -0.01x)

Solving
0.124 + -0.002x = 0.02 + -0.01x

Solving for variable 'x'.

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

Add '0.01x' to each side of the equation.
0.124 + -0.002x + 0.01x = 0.02 + -0.01x + 0.01x

Combine like terms: -0.002x + 0.01x = 0.008x
0.124 + 0.008x = 0.02 + -0.01x + 0.01x

Combine like terms: -0.01x + 0.01x = 0.00
0.124 + 0.008x = 0.02 + 0.00
0.124 + 0.008x = 0.02

Add '-0.124' to each side of the equation.
0.124 + -0.124 + 0.008x = 0.02 + -0.124

Combine like terms: 0.124 + -0.124 = 0.000
0.000 + 0.008x = 0.02 + -0.124
0.008x = 0.02 + -0.124

Combine like terms: 0.02 + -0.124 = -0.104
0.008x = -0.104

Divide each side by '0.008'.
x = -13

Simplifying
x = -13