.33-.03(x+1)=-.05(2-x)

Solution for .33-.03(x+1)=-.05(2-x) equation:

Simplifying
0.33 + -0.03(x + 1) = -0.05(2 + -1x)

Reorder the terms:
0.33 + -0.03(1 + x) = -0.05(2 + -1x)
0.33 + (1 * -0.03 + x * -0.03) = -0.05(2 + -1x)
0.33 + (-0.03 + -0.03x) = -0.05(2 + -1x)

Combine like terms: 0.33 + -0.03 = 0.3
0.3 + -0.03x = -0.05(2 + -1x)
0.3 + -0.03x = (2 * -0.05 + -1x * -0.05)
0.3 + -0.03x = (-0.1 + 0.05x)

Solving
0.3 + -0.03x = -0.1 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
0.3 + -0.03x + -0.05x = -0.1 + 0.05x + -0.05x

Combine like terms: -0.03x + -0.05x = -0.08x
0.3 + -0.08x = -0.1 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
0.3 + -0.08x = -0.1 + 0.00
0.3 + -0.08x = -0.1

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -0.08x = -0.1 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.08x = -0.1 + -0.3
-0.08x = -0.1 + -0.3

Combine like terms: -0.1 + -0.3 = -0.4
-0.08x = -0.4

Divide each side by '-0.08'.
x = 5

Simplifying
x = 5