0.4x-0.2=0.5-0.6(9-2x)

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Solution for 0.4x-0.2=0.5-0.6(9-2x) equation:


Simplifying
0.4x + -0.2 = 0.5 + -0.6(9 + -2x)

Reorder the terms:
-0.2 + 0.4x = 0.5 + -0.6(9 + -2x)
-0.2 + 0.4x = 0.5 + (9 * -0.6 + -2x * -0.6)
-0.2 + 0.4x = 0.5 + (-5.4 + 1.2x)

Combine like terms: 0.5 + -5.4 = -4.9
-0.2 + 0.4x = -4.9 + 1.2x

Solving
-0.2 + 0.4x = -4.9 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-0.2 + 0.4x + -1.2x = -4.9 + 1.2x + -1.2x

Combine like terms: 0.4x + -1.2x = -0.8x
-0.2 + -0.8x = -4.9 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.2 + -0.8x = -4.9 + 0.0
-0.2 + -0.8x = -4.9

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.8x = -4.9 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.8x = -4.9 + 0.2
-0.8x = -4.9 + 0.2

Combine like terms: -4.9 + 0.2 = -4.7
-0.8x = -4.7

Divide each side by '-0.8'.
x = 5.875

Simplifying
x = 5.875

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