6(a+2)-4(a-1)=20

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Solution for 6(a+2)-4(a-1)=20 equation: 


Simplifying
6(a + 2) + -4(a + -1) = 20

Reorder the terms:
6(2 + a) + -4(a + -1) = 20
(2 * 6 + a * 6) + -4(a + -1) = 20
(12 + 6a) + -4(a + -1) = 20

Reorder the terms:
12 + 6a + -4(-1 + a) = 20
12 + 6a + (-1 * -4 + a * -4) = 20
12 + 6a + (4 + -4a) = 20

Reorder the terms:
12 + 4 + 6a + -4a = 20

Combine like terms: 12 + 4 = 16
16 + 6a + -4a = 20

Combine like terms: 6a + -4a = 2a
16 + 2a = 20

Solving
16 + 2a = 20

Solving for variable 'a'.

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

Add '-16' to each side of the equation.
16 + -16 + 2a = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 2a = 20 + -16
2a = 20 + -16

Combine like terms: 20 + -16 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2

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