0.2-0.02(x+2)=-0.03(3-x)

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Solution for 0.2-0.02(x+2)=-0.03(3-x) equation: 


Simplifying
0.2 + -0.02(x + 2) = -0.03(3 + -1x)

Reorder the terms:
0.2 + -0.02(2 + x) = -0.03(3 + -1x)
0.2 + (2 * -0.02 + x * -0.02) = -0.03(3 + -1x)
0.2 + (-0.04 + -0.02x) = -0.03(3 + -1x)

Combine like terms: 0.2 + -0.04 = 0.16
0.16 + -0.02x = -0.03(3 + -1x)
0.16 + -0.02x = (3 * -0.03 + -1x * -0.03)
0.16 + -0.02x = (-0.09 + 0.03x)

Solving
0.16 + -0.02x = -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.
0.16 + -0.02x + -0.03x = -0.09 + 0.03x + -0.03x

Combine like terms: -0.02x + -0.03x = -0.05x
0.16 + -0.05x = -0.09 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
0.16 + -0.05x = -0.09 + 0.00
0.16 + -0.05x = -0.09

Add '-0.16' to each side of the equation.
0.16 + -0.16 + -0.05x = -0.09 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -0.05x = -0.09 + -0.16
-0.05x = -0.09 + -0.16

Combine like terms: -0.09 + -0.16 = -0.25
-0.05x = -0.25

Divide each side by '-0.05'.
x = 5

Simplifying
x = 5

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