5(a+12)=4(a-3)

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Solution for 5(a+12)=4(a-3) equation:


Simplifying
5(a + 12) = 4(a + -3)

Reorder the terms:
5(12 + a) = 4(a + -3)
(12 * 5 + a * 5) = 4(a + -3)
(60 + 5a) = 4(a + -3)

Reorder the terms:
60 + 5a = 4(-3 + a)
60 + 5a = (-3 * 4 + a * 4)
60 + 5a = (-12 + 4a)

Solving
60 + 5a = -12 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
60 + 5a + -4a = -12 + 4a + -4a

Combine like terms: 5a + -4a = 1a
60 + 1a = -12 + 4a + -4a

Combine like terms: 4a + -4a = 0
60 + 1a = -12 + 0
60 + 1a = -12

Add '-60' to each side of the equation.
60 + -60 + 1a = -12 + -60

Combine like terms: 60 + -60 = 0
0 + 1a = -12 + -60
1a = -12 + -60

Combine like terms: -12 + -60 = -72
1a = -72

Divide each side by '1'.
a = -72

Simplifying
a = -72

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