3.6(x+4)=-2.4(x-3)

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Solution for 3.6(x+4)=-2.4(x-3) equation: 


Simplifying
3.6(x + 4) = -2.4(x + -3)

Reorder the terms:
3.6(4 + x) = -2.4(x + -3)
(4 * 3.6 + x * 3.6) = -2.4(x + -3)
(14.4 + 3.6x) = -2.4(x + -3)

Reorder the terms:
14.4 + 3.6x = -2.4(-3 + x)
14.4 + 3.6x = (-3 * -2.4 + x * -2.4)
14.4 + 3.6x = (7.2 + -2.4x)

Solving
14.4 + 3.6x = 7.2 + -2.4x

Solving for variable 'x'.

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

Add '2.4x' to each side of the equation.
14.4 + 3.6x + 2.4x = 7.2 + -2.4x + 2.4x

Combine like terms: 3.6x + 2.4x = 6x
14.4 + 6x = 7.2 + -2.4x + 2.4x

Combine like terms: -2.4x + 2.4x = 0.0
14.4 + 6x = 7.2 + 0.0
14.4 + 6x = 7.2

Add '-14.4' to each side of the equation.
14.4 + -14.4 + 6x = 7.2 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 6x = 7.2 + -14.4
6x = 7.2 + -14.4

Combine like terms: 7.2 + -14.4 = -7.2
6x = -7.2

Divide each side by '6'.
x = -1.2

Simplifying
x = -1.2

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