0.2-0.1(x+3)=-0.04(2-x)

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Solution for 0.2-0.1(x+3)=-0.04(2-x) equation:


Simplifying
0.2 + -0.1(x + 3) = -0.04(2 + -1x)

Reorder the terms:
0.2 + -0.1(3 + x) = -0.04(2 + -1x)
0.2 + (3 * -0.1 + x * -0.1) = -0.04(2 + -1x)
0.2 + (-0.3 + -0.1x) = -0.04(2 + -1x)

Combine like terms: 0.2 + -0.3 = -0.1
-0.1 + -0.1x = -0.04(2 + -1x)
-0.1 + -0.1x = (2 * -0.04 + -1x * -0.04)
-0.1 + -0.1x = (-0.08 + 0.04x)

Solving
-0.1 + -0.1x = -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.
-0.1 + -0.1x + -0.04x = -0.08 + 0.04x + -0.04x

Combine like terms: -0.1x + -0.04x = -0.14x
-0.1 + -0.14x = -0.08 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-0.1 + -0.14x = -0.08 + 0.00
-0.1 + -0.14x = -0.08

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.14x = -0.08 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.14x = -0.08 + 0.1
-0.14x = -0.08 + 0.1

Combine like terms: -0.08 + 0.1 = 0.02
-0.14x = 0.02

Divide each side by '-0.14'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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