.02(x-2)=.06-.01(x+1)

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Solution for .02(x-2)=.06-.01(x+1) equation: 


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

Reorder the terms:
0.02(-2 + x) = 0.06 + -0.01(x + 1)
(-2 * 0.02 + x * 0.02) = 0.06 + -0.01(x + 1)
(-0.04 + 0.02x) = 0.06 + -0.01(x + 1)

Reorder the terms:
-0.04 + 0.02x = 0.06 + -0.01(1 + x)
-0.04 + 0.02x = 0.06 + (1 * -0.01 + x * -0.01)
-0.04 + 0.02x = 0.06 + (-0.01 + -0.01x)

Combine like terms: 0.06 + -0.01 = 0.05
-0.04 + 0.02x = 0.05 + -0.01x

Solving
-0.04 + 0.02x = 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.
-0.04 + 0.02x + 0.01x = 0.05 + -0.01x + 0.01x

Combine like terms: 0.02x + 0.01x = 0.03x
-0.04 + 0.03x = 0.05 + -0.01x + 0.01x

Combine like terms: -0.01x + 0.01x = 0.00
-0.04 + 0.03x = 0.05 + 0.00
-0.04 + 0.03x = 0.05

Add '0.04' to each side of the equation.
-0.04 + 0.04 + 0.03x = 0.05 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + 0.03x = 0.05 + 0.04
0.03x = 0.05 + 0.04

Combine like terms: 0.05 + 0.04 = 0.09
0.03x = 0.09

Divide each side by '0.03'.
x = 3

Simplifying
x = 3

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