6(3-2a)-4(2-4.5a)=15-(2-12a)

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Solution for 6(3-2a)-4(2-4.5a)=15-(2-12a) equation:


Simplifying
6(3 + -2a) + -4(2 + -4.5a) = 15 + -1(2 + -12a)
(3 * 6 + -2a * 6) + -4(2 + -4.5a) = 15 + -1(2 + -12a)
(18 + -12a) + -4(2 + -4.5a) = 15 + -1(2 + -12a)
18 + -12a + (2 * -4 + -4.5a * -4) = 15 + -1(2 + -12a)
18 + -12a + (-8 + 18a) = 15 + -1(2 + -12a)

Reorder the terms:
18 + -8 + -12a + 18a = 15 + -1(2 + -12a)

Combine like terms: 18 + -8 = 10
10 + -12a + 18a = 15 + -1(2 + -12a)

Combine like terms: -12a + 18a = 6a
10 + 6a = 15 + -1(2 + -12a)
10 + 6a = 15 + (2 * -1 + -12a * -1)
10 + 6a = 15 + (-2 + 12a)

Combine like terms: 15 + -2 = 13
10 + 6a = 13 + 12a

Solving
10 + 6a = 13 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
10 + 6a + -12a = 13 + 12a + -12a

Combine like terms: 6a + -12a = -6a
10 + -6a = 13 + 12a + -12a

Combine like terms: 12a + -12a = 0
10 + -6a = 13 + 0
10 + -6a = 13

Add '-10' to each side of the equation.
10 + -10 + -6a = 13 + -10

Combine like terms: 10 + -10 = 0
0 + -6a = 13 + -10
-6a = 13 + -10

Combine like terms: 13 + -10 = 3
-6a = 3

Divide each side by '-6'.
a = -0.5

Simplifying
a = -0.5

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