0.4x-0.2=-5-0.4(2x+3)

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Solution for 0.4x-0.2=-5-0.4(2x+3) equation: 


Simplifying
0.4x + -0.2 = -5 + -0.4(2x + 3)

Reorder the terms:
-0.2 + 0.4x = -5 + -0.4(2x + 3)

Reorder the terms:
-0.2 + 0.4x = -5 + -0.4(3 + 2x)
-0.2 + 0.4x = -5 + (3 * -0.4 + 2x * -0.4)
-0.2 + 0.4x = -5 + (-1.2 + -0.8x)

Combine like terms: -5 + -1.2 = -6.2
-0.2 + 0.4x = -6.2 + -0.8x

Solving
-0.2 + 0.4x = -6.2 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-0.2 + 0.4x + 0.8x = -6.2 + -0.8x + 0.8x

Combine like terms: 0.4x + 0.8x = 1.2x
-0.2 + 1.2x = -6.2 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-0.2 + 1.2x = -6.2 + 0.0
-0.2 + 1.2x = -6.2

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 1.2x = -6.2 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1.2x = -6.2 + 0.2
1.2x = -6.2 + 0.2

Combine like terms: -6.2 + 0.2 = -6
1.2x = -6

Divide each side by '1.2'.
x = -5

Simplifying
x = -5

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