0.20(x-2)=0.06-0.01(x+1)

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Solution for 0.20(x-2)=0.06-0.01(x+1) equation: 


Simplifying
0.20(x + -2) = 0.06 + -0.01(x + 1)

Reorder the terms:
0.20(-2 + x) = 0.06 + -0.01(x + 1)
(-2 * 0.20 + x * 0.20) = 0.06 + -0.01(x + 1)
(-0.4 + 0.20x) = 0.06 + -0.01(x + 1)

Reorder the terms:
-0.4 + 0.20x = 0.06 + -0.01(1 + x)
-0.4 + 0.20x = 0.06 + (1 * -0.01 + x * -0.01)
-0.4 + 0.20x = 0.06 + (-0.01 + -0.01x)

Combine like terms: 0.06 + -0.01 = 0.05
-0.4 + 0.20x = 0.05 + -0.01x

Solving
-0.4 + 0.20x = 0.05 + -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.
-0.4 + 0.20x + 0.01x = 0.05 + -0.01x + 0.01x

Combine like terms: 0.20x + 0.01x = 0.21x
-0.4 + 0.21x = 0.05 + -0.01x + 0.01x

Combine like terms: -0.01x + 0.01x = 0.00
-0.4 + 0.21x = 0.05 + 0.00
-0.4 + 0.21x = 0.05

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.21x = 0.05 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.21x = 0.05 + 0.4
0.21x = 0.05 + 0.4

Combine like terms: 0.05 + 0.4 = 0.45
0.21x = 0.45

Divide each side by '0.21'.
x = 2.142857143

Simplifying
x = 2.142857143

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