.18-.03(x+3)=-.02(3-x)

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Solution for .18-.03(x+3)=-.02(3-x) equation:


Simplifying
0.18 + -0.03(x + 3) = -0.02(3 + -1x)

Reorder the terms:
0.18 + -0.03(3 + x) = -0.02(3 + -1x)
0.18 + (3 * -0.03 + x * -0.03) = -0.02(3 + -1x)
0.18 + (-0.09 + -0.03x) = -0.02(3 + -1x)

Combine like terms: 0.18 + -0.09 = 0.09
0.09 + -0.03x = -0.02(3 + -1x)
0.09 + -0.03x = (3 * -0.02 + -1x * -0.02)
0.09 + -0.03x = (-0.06 + 0.02x)

Solving
0.09 + -0.03x = -0.06 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
0.09 + -0.03x + -0.02x = -0.06 + 0.02x + -0.02x

Combine like terms: -0.03x + -0.02x = -0.05x
0.09 + -0.05x = -0.06 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
0.09 + -0.05x = -0.06 + 0.00
0.09 + -0.05x = -0.06

Add '-0.09' to each side of the equation.
0.09 + -0.09 + -0.05x = -0.06 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + -0.05x = -0.06 + -0.09
-0.05x = -0.06 + -0.09

Combine like terms: -0.06 + -0.09 = -0.15
-0.05x = -0.15

Divide each side by '-0.05'.
x = 3

Simplifying
x = 3

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