4(a+1)=2(a+8)

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Solution for 4(a+1)=2(a+8) equation:


Simplifying
4(a + 1) = 2(a + 8)

Reorder the terms:
4(1 + a) = 2(a + 8)
(1 * 4 + a * 4) = 2(a + 8)
(4 + 4a) = 2(a + 8)

Reorder the terms:
4 + 4a = 2(8 + a)
4 + 4a = (8 * 2 + a * 2)
4 + 4a = (16 + 2a)

Solving
4 + 4a = 16 + 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.
4 + 4a + -2a = 16 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
4 + 2a = 16 + 0
4 + 2a = 16

Add '-4' to each side of the equation.
4 + -4 + 2a = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 2a = 16 + -4
2a = 16 + -4

Combine like terms: 16 + -4 = 12
2a = 12

Divide each side by '2'.
a = 6

Simplifying
a = 6

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