3.6(x+4)=-2.5(x-3)

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Solution for 3.6(x+4)=-2.5(x-3) equation:


Simplifying
3.6(x + 4) = -2.5(x + -3)

Reorder the terms:
3.6(4 + x) = -2.5(x + -3)
(4 * 3.6 + x * 3.6) = -2.5(x + -3)
(14.4 + 3.6x) = -2.5(x + -3)

Reorder the terms:
14.4 + 3.6x = -2.5(-3 + x)
14.4 + 3.6x = (-3 * -2.5 + x * -2.5)
14.4 + 3.6x = (7.5 + -2.5x)

Solving
14.4 + 3.6x = 7.5 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
14.4 + 3.6x + 2.5x = 7.5 + -2.5x + 2.5x

Combine like terms: 3.6x + 2.5x = 6.1x
14.4 + 6.1x = 7.5 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
14.4 + 6.1x = 7.5 + 0.0
14.4 + 6.1x = 7.5

Add '-14.4' to each side of the equation.
14.4 + -14.4 + 6.1x = 7.5 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 6.1x = 7.5 + -14.4
6.1x = 7.5 + -14.4

Combine like terms: 7.5 + -14.4 = -6.9
6.1x = -6.9

Divide each side by '6.1'.
x = -1.131147541

Simplifying
x = -1.131147541

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