.06-0.01(x+3)=-0.03(3-x)

Solution for .06-0.01(x+3)=-0.03(3-x) equation:

Simplifying
0.06 + -0.01(x + 3) = -0.03(3 + -1x)

Reorder the terms:
0.06 + -0.01(3 + x) = -0.03(3 + -1x)
0.06 + (3 * -0.01 + x * -0.01) = -0.03(3 + -1x)
0.06 + (-0.03 + -0.01x) = -0.03(3 + -1x)

Combine like terms: 0.06 + -0.03 = 0.03
0.03 + -0.01x = -0.03(3 + -1x)
0.03 + -0.01x = (3 * -0.03 + -1x * -0.03)
0.03 + -0.01x = (-0.09 + 0.03x)

Solving
0.03 + -0.01x = -0.09 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
0.03 + -0.01x + -0.03x = -0.09 + 0.03x + -0.03x

Combine like terms: -0.01x + -0.03x = -0.04x
0.03 + -0.04x = -0.09 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
0.03 + -0.04x = -0.09 + 0.00
0.03 + -0.04x = -0.09

Add '-0.03' to each side of the equation.
0.03 + -0.03 + -0.04x = -0.09 + -0.03

Combine like terms: 0.03 + -0.03 = 0.00
0.00 + -0.04x = -0.09 + -0.03
-0.04x = -0.09 + -0.03

Combine like terms: -0.09 + -0.03 = -0.12
-0.04x = -0.12

Divide each side by '-0.04'.
x = 3

Simplifying
x = 3