0.2-0.01(x+3)=0.04(2-x)

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Solution for 0.2-0.01(x+3)=0.04(2-x) equation:


Simplifying
0.2 + -0.01(x + 3) = 0.04(2 + -1x)

Reorder the terms:
0.2 + -0.01(3 + x) = 0.04(2 + -1x)
0.2 + (3 * -0.01 + x * -0.01) = 0.04(2 + -1x)
0.2 + (-0.03 + -0.01x) = 0.04(2 + -1x)

Combine like terms: 0.2 + -0.03 = 0.17
0.17 + -0.01x = 0.04(2 + -1x)
0.17 + -0.01x = (2 * 0.04 + -1x * 0.04)
0.17 + -0.01x = (0.08 + -0.04x)

Solving
0.17 + -0.01x = 0.08 + -0.04x

Solving for variable 'x'.

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

Add '0.04x' to each side of the equation.
0.17 + -0.01x + 0.04x = 0.08 + -0.04x + 0.04x

Combine like terms: -0.01x + 0.04x = 0.03x
0.17 + 0.03x = 0.08 + -0.04x + 0.04x

Combine like terms: -0.04x + 0.04x = 0.00
0.17 + 0.03x = 0.08 + 0.00
0.17 + 0.03x = 0.08

Add '-0.17' to each side of the equation.
0.17 + -0.17 + 0.03x = 0.08 + -0.17

Combine like terms: 0.17 + -0.17 = 0.00
0.00 + 0.03x = 0.08 + -0.17
0.03x = 0.08 + -0.17

Combine like terms: 0.08 + -0.17 = -0.09
0.03x = -0.09

Divide each side by '0.03'.
x = -3

Simplifying
x = -3

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