0.5x-0.1=0.4-0.6(9-2x)

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Solution for 0.5x-0.1=0.4-0.6(9-2x) equation:


Simplifying
0.5x + -0.1 = 0.4 + -0.6(9 + -2x)

Reorder the terms:
-0.1 + 0.5x = 0.4 + -0.6(9 + -2x)
-0.1 + 0.5x = 0.4 + (9 * -0.6 + -2x * -0.6)
-0.1 + 0.5x = 0.4 + (-5.4 + 1.2x)

Combine like terms: 0.4 + -5.4 = -5
-0.1 + 0.5x = -5 + 1.2x

Solving
-0.1 + 0.5x = -5 + 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.
-0.1 + 0.5x + -1.2x = -5 + 1.2x + -1.2x

Combine like terms: 0.5x + -1.2x = -0.7x
-0.1 + -0.7x = -5 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.1 + -0.7x = -5 + 0.0
-0.1 + -0.7x = -5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.7x = -5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.7x = -5 + 0.1
-0.7x = -5 + 0.1

Combine like terms: -5 + 0.1 = -4.9
-0.7x = -4.9

Divide each side by '-0.7'.
x = 7

Simplifying
x = 7

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