4(5a+2)=12(a-1)

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Solution for 4(5a+2)=12(a-1) equation:


Simplifying
4(5a + 2) = 12(a + -1)

Reorder the terms:
4(2 + 5a) = 12(a + -1)
(2 * 4 + 5a * 4) = 12(a + -1)
(8 + 20a) = 12(a + -1)

Reorder the terms:
8 + 20a = 12(-1 + a)
8 + 20a = (-1 * 12 + a * 12)
8 + 20a = (-12 + 12a)

Solving
8 + 20a = -12 + 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.
8 + 20a + -12a = -12 + 12a + -12a

Combine like terms: 20a + -12a = 8a
8 + 8a = -12 + 12a + -12a

Combine like terms: 12a + -12a = 0
8 + 8a = -12 + 0
8 + 8a = -12

Add '-8' to each side of the equation.
8 + -8 + 8a = -12 + -8

Combine like terms: 8 + -8 = 0
0 + 8a = -12 + -8
8a = -12 + -8

Combine like terms: -12 + -8 = -20
8a = -20

Divide each side by '8'.
a = -2.5

Simplifying
a = -2.5

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