0.2-0.02(x+3)=0.01(1-x)

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Solution for 0.2-0.02(x+3)=0.01(1-x) equation:


Simplifying
0.2 + -0.02(x + 3) = 0.01(1 + -1x)

Reorder the terms:
0.2 + -0.02(3 + x) = 0.01(1 + -1x)
0.2 + (3 * -0.02 + x * -0.02) = 0.01(1 + -1x)
0.2 + (-0.06 + -0.02x) = 0.01(1 + -1x)

Combine like terms: 0.2 + -0.06 = 0.14
0.14 + -0.02x = 0.01(1 + -1x)
0.14 + -0.02x = (1 * 0.01 + -1x * 0.01)
0.14 + -0.02x = (0.01 + -0.01x)

Solving
0.14 + -0.02x = 0.01 + -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.
0.14 + -0.02x + 0.01x = 0.01 + -0.01x + 0.01x

Combine like terms: -0.02x + 0.01x = -0.01x
0.14 + -0.01x = 0.01 + -0.01x + 0.01x

Combine like terms: -0.01x + 0.01x = 0.00
0.14 + -0.01x = 0.01 + 0.00
0.14 + -0.01x = 0.01

Add '-0.14' to each side of the equation.
0.14 + -0.14 + -0.01x = 0.01 + -0.14

Combine like terms: 0.14 + -0.14 = 0.00
0.00 + -0.01x = 0.01 + -0.14
-0.01x = 0.01 + -0.14

Combine like terms: 0.01 + -0.14 = -0.13
-0.01x = -0.13

Divide each side by '-0.01'.
x = 13

Simplifying
x = 13

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