0.4(6x+8)=(x-3)

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Solution for 0.4(6x+8)=(x-3) equation:


Simplifying
0.4(6x + 8) = (x + -3)

Reorder the terms:
0.4(8 + 6x) = (x + -3)
(8 * 0.4 + 6x * 0.4) = (x + -3)
(3.2 + 2.4x) = (x + -3)

Reorder the terms:
3.2 + 2.4x = (-3 + x)

Remove parenthesis around (-3 + x)
3.2 + 2.4x = -3 + x

Solving
3.2 + 2.4x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3.2 + 2.4x + -1x = -3 + x + -1x

Combine like terms: 2.4x + -1x = 1.4x
3.2 + 1.4x = -3 + x + -1x

Combine like terms: x + -1x = 0
3.2 + 1.4x = -3 + 0
3.2 + 1.4x = -3

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 1.4x = -3 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 1.4x = -3 + -3.2
1.4x = -3 + -3.2

Combine like terms: -3 + -3.2 = -6.2
1.4x = -6.2

Divide each side by '1.4'.
x = -4.428571429

Simplifying
x = -4.428571429

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