2(a+1)+4(a+2)=22

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Solution for 2(a+1)+4(a+2)=22 equation: 


Simplifying
2(a + 1) + 4(a + 2) = 22

Reorder the terms:
2(1 + a) + 4(a + 2) = 22
(1 * 2 + a * 2) + 4(a + 2) = 22
(2 + 2a) + 4(a + 2) = 22

Reorder the terms:
2 + 2a + 4(2 + a) = 22
2 + 2a + (2 * 4 + a * 4) = 22
2 + 2a + (8 + 4a) = 22

Reorder the terms:
2 + 8 + 2a + 4a = 22

Combine like terms: 2 + 8 = 10
10 + 2a + 4a = 22

Combine like terms: 2a + 4a = 6a
10 + 6a = 22

Solving
10 + 6a = 22

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 6a = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 6a = 22 + -10
6a = 22 + -10

Combine like terms: 22 + -10 = 12
6a = 12

Divide each side by '6'.
a = 2

Simplifying
a = 2

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