5(6-3a)+18=9a-3(4-2a)

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Solution for 5(6-3a)+18=9a-3(4-2a) equation:


Simplifying
5(6 + -3a) + 18 = 9a + -3(4 + -2a)
(6 * 5 + -3a * 5) + 18 = 9a + -3(4 + -2a)
(30 + -15a) + 18 = 9a + -3(4 + -2a)

Reorder the terms:
30 + 18 + -15a = 9a + -3(4 + -2a)

Combine like terms: 30 + 18 = 48
48 + -15a = 9a + -3(4 + -2a)
48 + -15a = 9a + (4 * -3 + -2a * -3)
48 + -15a = 9a + (-12 + 6a)

Reorder the terms:
48 + -15a = -12 + 9a + 6a

Combine like terms: 9a + 6a = 15a
48 + -15a = -12 + 15a

Solving
48 + -15a = -12 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
48 + -15a + -15a = -12 + 15a + -15a

Combine like terms: -15a + -15a = -30a
48 + -30a = -12 + 15a + -15a

Combine like terms: 15a + -15a = 0
48 + -30a = -12 + 0
48 + -30a = -12

Add '-48' to each side of the equation.
48 + -48 + -30a = -12 + -48

Combine like terms: 48 + -48 = 0
0 + -30a = -12 + -48
-30a = -12 + -48

Combine like terms: -12 + -48 = -60
-30a = -60

Divide each side by '-30'.
a = 2

Simplifying
a = 2

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