0.09-0.01(x+1)=0.02(2-x)

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Solution for 0.09-0.01(x+1)=0.02(2-x) equation: 


Simplifying
0.09 + -0.01(x + 1) = 0.02(2 + -1x)

Reorder the terms:
0.09 + -0.01(1 + x) = 0.02(2 + -1x)
0.09 + (1 * -0.01 + x * -0.01) = 0.02(2 + -1x)
0.09 + (-0.01 + -0.01x) = 0.02(2 + -1x)

Combine like terms: 0.09 + -0.01 = 0.08
0.08 + -0.01x = 0.02(2 + -1x)
0.08 + -0.01x = (2 * 0.02 + -1x * 0.02)
0.08 + -0.01x = (0.04 + -0.02x)

Solving
0.08 + -0.01x = 0.04 + -0.02x

Solving for variable 'x'.

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

Add '0.02x' to each side of the equation.
0.08 + -0.01x + 0.02x = 0.04 + -0.02x + 0.02x

Combine like terms: -0.01x + 0.02x = 0.01x
0.08 + 0.01x = 0.04 + -0.02x + 0.02x

Combine like terms: -0.02x + 0.02x = 0.00
0.08 + 0.01x = 0.04 + 0.00
0.08 + 0.01x = 0.04

Add '-0.08' to each side of the equation.
0.08 + -0.08 + 0.01x = 0.04 + -0.08

Combine like terms: 0.08 + -0.08 = 0.00
0.00 + 0.01x = 0.04 + -0.08
0.01x = 0.04 + -0.08

Combine like terms: 0.04 + -0.08 = -0.04
0.01x = -0.04

Divide each side by '0.01'.
x = -4

Simplifying
x = -4

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