-3(2x-5)+6(2x-3)=0

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Solution for -3(2x-5)+6(2x-3)=0 equation:


Simplifying
-3(2x + -5) + 6(2x + -3) = 0

Reorder the terms:
-3(-5 + 2x) + 6(2x + -3) = 0
(-5 * -3 + 2x * -3) + 6(2x + -3) = 0
(15 + -6x) + 6(2x + -3) = 0

Reorder the terms:
15 + -6x + 6(-3 + 2x) = 0
15 + -6x + (-3 * 6 + 2x * 6) = 0
15 + -6x + (-18 + 12x) = 0

Reorder the terms:
15 + -18 + -6x + 12x = 0

Combine like terms: 15 + -18 = -3
-3 + -6x + 12x = 0

Combine like terms: -6x + 12x = 6x
-3 + 6x = 0

Solving
-3 + 6x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 0 + 3
6x = 0 + 3

Combine like terms: 0 + 3 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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