3(2x+3)-4(3a-6)=15

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Solution for 3(2x+3)-4(3a-6)=15 equation: 


Simplifying
3(2x + 3) + -4(3a + -6) = 15

Reorder the terms:
3(3 + 2x) + -4(3a + -6) = 15
(3 * 3 + 2x * 3) + -4(3a + -6) = 15
(9 + 6x) + -4(3a + -6) = 15

Reorder the terms:
9 + 6x + -4(-6 + 3a) = 15
9 + 6x + (-6 * -4 + 3a * -4) = 15
9 + 6x + (24 + -12a) = 15

Reorder the terms:
9 + 24 + -12a + 6x = 15

Combine like terms: 9 + 24 = 33
33 + -12a + 6x = 15

Solving
33 + -12a + 6x = 15

Solving for variable 'a'.

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

Add '-33' to each side of the equation.
33 + -12a + -33 + 6x = 15 + -33

Reorder the terms:
33 + -33 + -12a + 6x = 15 + -33

Combine like terms: 33 + -33 = 0
0 + -12a + 6x = 15 + -33
-12a + 6x = 15 + -33

Combine like terms: 15 + -33 = -18
-12a + 6x = -18

Add '-6x' to each side of the equation.
-12a + 6x + -6x = -18 + -6x

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

Divide each side by '-12'.
a = 1.5 + 0.5x

Simplifying
a = 1.5 + 0.5x

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