.21-.03(x+2)=-.01(1-x)

Solution for .21-.03(x+2)=-.01(1-x) equation:

Simplifying
0.21 + -0.03(x + 2) = -0.01(1 + -1x)

Reorder the terms:
0.21 + -0.03(2 + x) = -0.01(1 + -1x)
0.21 + (2 * -0.03 + x * -0.03) = -0.01(1 + -1x)
0.21 + (-0.06 + -0.03x) = -0.01(1 + -1x)

Combine like terms: 0.21 + -0.06 = 0.15
0.15 + -0.03x = -0.01(1 + -1x)
0.15 + -0.03x = (1 * -0.01 + -1x * -0.01)
0.15 + -0.03x = (-0.01 + 0.01x)

Solving
0.15 + -0.03x = -0.01 + 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.
0.15 + -0.03x + -0.01x = -0.01 + 0.01x + -0.01x

Combine like terms: -0.03x + -0.01x = -0.04x
0.15 + -0.04x = -0.01 + 0.01x + -0.01x

Combine like terms: 0.01x + -0.01x = 0.00
0.15 + -0.04x = -0.01 + 0.00
0.15 + -0.04x = -0.01

Add '-0.15' to each side of the equation.
0.15 + -0.15 + -0.04x = -0.01 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.04x = -0.01 + -0.15
-0.04x = -0.01 + -0.15

Combine like terms: -0.01 + -0.15 = -0.16
-0.04x = -0.16

Divide each side by '-0.04'.
x = 4

Simplifying
x = 4