0.5(-4+6x)=0.3x+0.5(x+9)

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Solution for 0.5(-4+6x)=0.3x+0.5(x+9) equation: 


Simplifying
0.5(-4 + 6x) = 0.3x + 0.5(x + 9)
(-4 * 0.5 + 6x * 0.5) = 0.3x + 0.5(x + 9)
(-2 + 3x) = 0.3x + 0.5(x + 9)

Reorder the terms:
-2 + 3x = 0.3x + 0.5(9 + x)
-2 + 3x = 0.3x + (9 * 0.5 + x * 0.5)
-2 + 3x = 0.3x + (4.5 + 0.5x)

Reorder the terms:
-2 + 3x = 4.5 + 0.3x + 0.5x

Combine like terms: 0.3x + 0.5x = 0.8x
-2 + 3x = 4.5 + 0.8x

Solving
-2 + 3x = 4.5 + 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.
-2 + 3x + -0.8x = 4.5 + 0.8x + -0.8x

Combine like terms: 3x + -0.8x = 2.2x
-2 + 2.2x = 4.5 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-2 + 2.2x = 4.5 + 0.0
-2 + 2.2x = 4.5

Add '2' to each side of the equation.
-2 + 2 + 2.2x = 4.5 + 2

Combine like terms: -2 + 2 = 0
0 + 2.2x = 4.5 + 2
2.2x = 4.5 + 2

Combine like terms: 4.5 + 2 = 6.5
2.2x = 6.5

Divide each side by '2.2'.
x = 2.954545455

Simplifying
x = 2.954545455

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