3(a+3)-7=6a-21

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Solution for 3(a+3)-7=6a-21 equation: 


Simplifying
3(a + 3) + -7 = 6a + -21

Reorder the terms:
3(3 + a) + -7 = 6a + -21
(3 * 3 + a * 3) + -7 = 6a + -21
(9 + 3a) + -7 = 6a + -21

Reorder the terms:
9 + -7 + 3a = 6a + -21

Combine like terms: 9 + -7 = 2
2 + 3a = 6a + -21

Reorder the terms:
2 + 3a = -21 + 6a

Solving
2 + 3a = -21 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
2 + 3a + -6a = -21 + 6a + -6a

Combine like terms: 3a + -6a = -3a
2 + -3a = -21 + 6a + -6a

Combine like terms: 6a + -6a = 0
2 + -3a = -21 + 0
2 + -3a = -21

Add '-2' to each side of the equation.
2 + -2 + -3a = -21 + -2

Combine like terms: 2 + -2 = 0
0 + -3a = -21 + -2
-3a = -21 + -2

Combine like terms: -21 + -2 = -23
-3a = -23

Divide each side by '-3'.
a = 7.666666667

Simplifying
a = 7.666666667

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