6[4-(a-2)]=2a+10

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Solution for 6[4-(a-2)]=2a+10 equation: 


Simplifying
6[4 + -1(a + -2)] = 2a + 10

Reorder the terms:
6[4 + -1(-2 + a)] = 2a + 10
6[4 + (-2 * -1 + a * -1)] = 2a + 10
6[4 + (2 + -1a)] = 2a + 10

Combine like terms: 4 + 2 = 6
6[6 + -1a] = 2a + 10
[6 * 6 + -1a * 6] = 2a + 10
[36 + -6a] = 2a + 10

Reorder the terms:
36 + -6a = 10 + 2a

Solving
36 + -6a = 10 + 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.
36 + -6a + -2a = 10 + 2a + -2a

Combine like terms: -6a + -2a = -8a
36 + -8a = 10 + 2a + -2a

Combine like terms: 2a + -2a = 0
36 + -8a = 10 + 0
36 + -8a = 10

Add '-36' to each side of the equation.
36 + -36 + -8a = 10 + -36

Combine like terms: 36 + -36 = 0
0 + -8a = 10 + -36
-8a = 10 + -36

Combine like terms: 10 + -36 = -26
-8a = -26

Divide each side by '-8'.
a = 3.25

Simplifying
a = 3.25

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