0.1-0.02(x+2)=0.03(3-x)

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Solution for 0.1-0.02(x+2)=0.03(3-x) equation:


Simplifying
0.1 + -0.02(x + 2) = 0.03(3 + -1x)

Reorder the terms:
0.1 + -0.02(2 + x) = 0.03(3 + -1x)
0.1 + (2 * -0.02 + x * -0.02) = 0.03(3 + -1x)
0.1 + (-0.04 + -0.02x) = 0.03(3 + -1x)

Combine like terms: 0.1 + -0.04 = 0.06
0.06 + -0.02x = 0.03(3 + -1x)
0.06 + -0.02x = (3 * 0.03 + -1x * 0.03)
0.06 + -0.02x = (0.09 + -0.03x)

Solving
0.06 + -0.02x = 0.09 + -0.03x

Solving for variable 'x'.

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

Add '0.03x' to each side of the equation.
0.06 + -0.02x + 0.03x = 0.09 + -0.03x + 0.03x

Combine like terms: -0.02x + 0.03x = 0.01x
0.06 + 0.01x = 0.09 + -0.03x + 0.03x

Combine like terms: -0.03x + 0.03x = 0.00
0.06 + 0.01x = 0.09 + 0.00
0.06 + 0.01x = 0.09

Add '-0.06' to each side of the equation.
0.06 + -0.06 + 0.01x = 0.09 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + 0.01x = 0.09 + -0.06
0.01x = 0.09 + -0.06

Combine like terms: 0.09 + -0.06 = 0.03
0.01x = 0.03

Divide each side by '0.01'.
x = 3

Simplifying
x = 3

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