3(a+10)=8[a-(7-a)]

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Solution for 3(a+10)=8[a-(7-a)] equation:


Simplifying
3(a + 10) = 8[a + -1(7 + -1a)]

Reorder the terms:
3(10 + a) = 8[a + -1(7 + -1a)]
(10 * 3 + a * 3) = 8[a + -1(7 + -1a)]
(30 + 3a) = 8[a + -1(7 + -1a)]
30 + 3a = 8[a + (7 * -1 + -1a * -1)]
30 + 3a = 8[a + (-7 + 1a)]

Reorder the terms:
30 + 3a = 8[-7 + a + 1a]

Combine like terms: a + 1a = 2a
30 + 3a = 8[-7 + 2a]
30 + 3a = [-7 * 8 + 2a * 8]
30 + 3a = [-56 + 16a]

Solving
30 + 3a = -56 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
30 + 3a + -16a = -56 + 16a + -16a

Combine like terms: 3a + -16a = -13a
30 + -13a = -56 + 16a + -16a

Combine like terms: 16a + -16a = 0
30 + -13a = -56 + 0
30 + -13a = -56

Add '-30' to each side of the equation.
30 + -30 + -13a = -56 + -30

Combine like terms: 30 + -30 = 0
0 + -13a = -56 + -30
-13a = -56 + -30

Combine like terms: -56 + -30 = -86
-13a = -86

Divide each side by '-13'.
a = 6.615384615

Simplifying
a = 6.615384615

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