0.02(3-x)-0.04(x+2)=.34

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Solution for 0.02(3-x)-0.04(x+2)=.34 equation: 


Simplifying
0.02(3 + -1x) + -0.04(x + 2) = 0.34
(3 * 0.02 + -1x * 0.02) + -0.04(x + 2) = 0.34
(0.06 + -0.02x) + -0.04(x + 2) = 0.34

Reorder the terms:
0.06 + -0.02x + -0.04(2 + x) = 0.34
0.06 + -0.02x + (2 * -0.04 + x * -0.04) = 0.34
0.06 + -0.02x + (-0.08 + -0.04x) = 0.34

Reorder the terms:
0.06 + -0.08 + -0.02x + -0.04x = 0.34

Combine like terms: 0.06 + -0.08 = -0.02
-0.02 + -0.02x + -0.04x = 0.34

Combine like terms: -0.02x + -0.04x = -0.06x
-0.02 + -0.06x = 0.34

Solving
-0.02 + -0.06x = 0.34

Solving for variable 'x'.

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

Add '0.02' to each side of the equation.
-0.02 + 0.02 + -0.06x = 0.34 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + -0.06x = 0.34 + 0.02
-0.06x = 0.34 + 0.02

Combine like terms: 0.34 + 0.02 = 0.36
-0.06x = 0.36

Divide each side by '-0.06'.
x = -6

Simplifying
x = -6

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