0.16-0.02(x+3)=0.01(2-x)

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Solution for 0.16-0.02(x+3)=0.01(2-x) equation: 


Simplifying
0.16 + -0.02(x + 3) = 0.01(2 + -1x)

Reorder the terms:
0.16 + -0.02(3 + x) = 0.01(2 + -1x)
0.16 + (3 * -0.02 + x * -0.02) = 0.01(2 + -1x)
0.16 + (-0.06 + -0.02x) = 0.01(2 + -1x)

Combine like terms: 0.16 + -0.06 = 0.1
0.1 + -0.02x = 0.01(2 + -1x)
0.1 + -0.02x = (2 * 0.01 + -1x * 0.01)
0.1 + -0.02x = (0.02 + -0.01x)

Solving
0.1 + -0.02x = 0.02 + -0.01x

Solving for variable 'x'.

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

Add '0.01x' to each side of the equation.
0.1 + -0.02x + 0.01x = 0.02 + -0.01x + 0.01x

Combine like terms: -0.02x + 0.01x = -0.01x
0.1 + -0.01x = 0.02 + -0.01x + 0.01x

Combine like terms: -0.01x + 0.01x = 0.00
0.1 + -0.01x = 0.02 + 0.00
0.1 + -0.01x = 0.02

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.01x = 0.02 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.01x = 0.02 + -0.1
-0.01x = 0.02 + -0.1

Combine like terms: 0.02 + -0.1 = -0.08
-0.01x = -0.08

Divide each side by '-0.01'.
x = 8

Simplifying
x = 8

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