3(a+7)=10[a-(4-a)]

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Solution for 3(a+7)=10[a-(4-a)] equation: 


Simplifying
3(a + 7) = 10[a + -1(4 + -1a)]

Reorder the terms:
3(7 + a) = 10[a + -1(4 + -1a)]
(7 * 3 + a * 3) = 10[a + -1(4 + -1a)]
(21 + 3a) = 10[a + -1(4 + -1a)]
21 + 3a = 10[a + (4 * -1 + -1a * -1)]
21 + 3a = 10[a + (-4 + 1a)]

Reorder the terms:
21 + 3a = 10[-4 + a + 1a]

Combine like terms: a + 1a = 2a
21 + 3a = 10[-4 + 2a]
21 + 3a = [-4 * 10 + 2a * 10]
21 + 3a = [-40 + 20a]

Solving
21 + 3a = -40 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
21 + 3a + -20a = -40 + 20a + -20a

Combine like terms: 3a + -20a = -17a
21 + -17a = -40 + 20a + -20a

Combine like terms: 20a + -20a = 0
21 + -17a = -40 + 0
21 + -17a = -40

Add '-21' to each side of the equation.
21 + -21 + -17a = -40 + -21

Combine like terms: 21 + -21 = 0
0 + -17a = -40 + -21
-17a = -40 + -21

Combine like terms: -40 + -21 = -61
-17a = -61

Divide each side by '-17'.
a = 3.588235294

Simplifying
a = 3.588235294

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