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

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


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

Reorder the terms:
0.2 + -0.02(3 + x) = -0.03(2 + -1x)
0.2 + (3 * -0.02 + x * -0.02) = -0.03(2 + -1x)
0.2 + (-0.06 + -0.02x) = -0.03(2 + -1x)

Combine like terms: 0.2 + -0.06 = 0.14
0.14 + -0.02x = -0.03(2 + -1x)
0.14 + -0.02x = (2 * -0.03 + -1x * -0.03)
0.14 + -0.02x = (-0.06 + 0.03x)

Solving
0.14 + -0.02x = -0.06 + 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.
0.14 + -0.02x + -0.03x = -0.06 + 0.03x + -0.03x

Combine like terms: -0.02x + -0.03x = -0.05x
0.14 + -0.05x = -0.06 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
0.14 + -0.05x = -0.06 + 0.00
0.14 + -0.05x = -0.06

Add '-0.14' to each side of the equation.
0.14 + -0.14 + -0.05x = -0.06 + -0.14

Combine like terms: 0.14 + -0.14 = 0.00
0.00 + -0.05x = -0.06 + -0.14
-0.05x = -0.06 + -0.14

Combine like terms: -0.06 + -0.14 = -0.2
-0.05x = -0.2

Divide each side by '-0.05'.
x = 4

Simplifying
x = 4

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