.5(4x+6)=0.3(9x-24)

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Solution for .5(4x+6)=0.3(9x-24) equation:


Simplifying
0.5(4x + 6) = 0.3(9x + -24)

Reorder the terms:
0.5(6 + 4x) = 0.3(9x + -24)
(6 * 0.5 + 4x * 0.5) = 0.3(9x + -24)
(3 + 2x) = 0.3(9x + -24)

Reorder the terms:
3 + 2x = 0.3(-24 + 9x)
3 + 2x = (-24 * 0.3 + 9x * 0.3)
3 + 2x = (-7.2 + 2.7x)

Solving
3 + 2x = -7.2 + 2.7x

Solving for variable 'x'.

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

Add '-2.7x' to each side of the equation.
3 + 2x + -2.7x = -7.2 + 2.7x + -2.7x

Combine like terms: 2x + -2.7x = -0.7x
3 + -0.7x = -7.2 + 2.7x + -2.7x

Combine like terms: 2.7x + -2.7x = 0.0
3 + -0.7x = -7.2 + 0.0
3 + -0.7x = -7.2

Add '-3' to each side of the equation.
3 + -3 + -0.7x = -7.2 + -3

Combine like terms: 3 + -3 = 0
0 + -0.7x = -7.2 + -3
-0.7x = -7.2 + -3

Combine like terms: -7.2 + -3 = -10.2
-0.7x = -10.2

Divide each side by '-0.7'.
x = 14.57142857

Simplifying
x = 14.57142857

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