6(3+a)=21-(2a-1)

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Solution for 6(3+a)=21-(2a-1) equation:


Simplifying
6(3 + a) = 21 + -1(2a + -1)
(3 * 6 + a * 6) = 21 + -1(2a + -1)
(18 + 6a) = 21 + -1(2a + -1)

Reorder the terms:
18 + 6a = 21 + -1(-1 + 2a)
18 + 6a = 21 + (-1 * -1 + 2a * -1)
18 + 6a = 21 + (1 + -2a)

Combine like terms: 21 + 1 = 22
18 + 6a = 22 + -2a

Solving
18 + 6a = 22 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
18 + 6a + 2a = 22 + -2a + 2a

Combine like terms: 6a + 2a = 8a
18 + 8a = 22 + -2a + 2a

Combine like terms: -2a + 2a = 0
18 + 8a = 22 + 0
18 + 8a = 22

Add '-18' to each side of the equation.
18 + -18 + 8a = 22 + -18

Combine like terms: 18 + -18 = 0
0 + 8a = 22 + -18
8a = 22 + -18

Combine like terms: 22 + -18 = 4
8a = 4

Divide each side by '8'.
a = 0.5

Simplifying
a = 0.5

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