(3x+8)-6(2.5x-3)=0

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Solution for (3x+8)-6(2.5x-3)=0 equation:


Simplifying
(3x + 8) + -6(2.5x + -3) = 0

Reorder the terms:
(8 + 3x) + -6(2.5x + -3) = 0

Remove parenthesis around (8 + 3x)
8 + 3x + -6(2.5x + -3) = 0

Reorder the terms:
8 + 3x + -6(-3 + 2.5x) = 0
8 + 3x + (-3 * -6 + 2.5x * -6) = 0
8 + 3x + (18 + -15x) = 0

Reorder the terms:
8 + 18 + 3x + -15x = 0

Combine like terms: 8 + 18 = 26
26 + 3x + -15x = 0

Combine like terms: 3x + -15x = -12x
26 + -12x = 0

Solving
26 + -12x = 0

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -12x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -12x = 0 + -26
-12x = 0 + -26

Combine like terms: 0 + -26 = -26
-12x = -26

Divide each side by '-12'.
x = 2.166666667

Simplifying
x = 2.166666667

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