0.2-0.02(x+2)=0.05(1-x)

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Solution for 0.2-0.02(x+2)=0.05(1-x) equation: 


Simplifying
0.2 + -0.02(x + 2) = 0.05(1 + -1x)

Reorder the terms:
0.2 + -0.02(2 + x) = 0.05(1 + -1x)
0.2 + (2 * -0.02 + x * -0.02) = 0.05(1 + -1x)
0.2 + (-0.04 + -0.02x) = 0.05(1 + -1x)

Combine like terms: 0.2 + -0.04 = 0.16
0.16 + -0.02x = 0.05(1 + -1x)
0.16 + -0.02x = (1 * 0.05 + -1x * 0.05)
0.16 + -0.02x = (0.05 + -0.05x)

Solving
0.16 + -0.02x = 0.05 + -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.
0.16 + -0.02x + 0.05x = 0.05 + -0.05x + 0.05x

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

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

Add '-0.16' to each side of the equation.
0.16 + -0.16 + 0.03x = 0.05 + -0.16

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

Combine like terms: 0.05 + -0.16 = -0.11
0.03x = -0.11

Divide each side by '0.03'.
x = -3.666666667

Simplifying
x = -3.666666667

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