0.6(12x+24)-12=-0.4(15x-40)

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Solution for 0.6(12x+24)-12=-0.4(15x-40) equation:


Simplifying
0.6(12x + 24) + -12 = -0.4(15x + -40)

Reorder the terms:
0.6(24 + 12x) + -12 = -0.4(15x + -40)
(24 * 0.6 + 12x * 0.6) + -12 = -0.4(15x + -40)
(14.4 + 7.2x) + -12 = -0.4(15x + -40)

Reorder the terms:
14.4 + -12 + 7.2x = -0.4(15x + -40)

Combine like terms: 14.4 + -12 = 2.4
2.4 + 7.2x = -0.4(15x + -40)

Reorder the terms:
2.4 + 7.2x = -0.4(-40 + 15x)
2.4 + 7.2x = (-40 * -0.4 + 15x * -0.4)
2.4 + 7.2x = (16 + -6x)

Solving
2.4 + 7.2x = 16 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2.4 + 7.2x + 6x = 16 + -6x + 6x

Combine like terms: 7.2x + 6x = 13.2x
2.4 + 13.2x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
2.4 + 13.2x = 16 + 0
2.4 + 13.2x = 16

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 13.2x = 16 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 13.2x = 16 + -2.4
13.2x = 16 + -2.4

Combine like terms: 16 + -2.4 = 13.6
13.2x = 13.6

Divide each side by '13.2'.
x = 1.03030303

Simplifying
x = 1.03030303

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