3(a-6)+2=4(a+2)-21

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Solution for 3(a-6)+2=4(a+2)-21 equation: 


Simplifying
3(a + -6) + 2 = 4(a + 2) + -21

Reorder the terms:
3(-6 + a) + 2 = 4(a + 2) + -21
(-6 * 3 + a * 3) + 2 = 4(a + 2) + -21
(-18 + 3a) + 2 = 4(a + 2) + -21

Reorder the terms:
-18 + 2 + 3a = 4(a + 2) + -21

Combine like terms: -18 + 2 = -16
-16 + 3a = 4(a + 2) + -21

Reorder the terms:
-16 + 3a = 4(2 + a) + -21
-16 + 3a = (2 * 4 + a * 4) + -21
-16 + 3a = (8 + 4a) + -21

Reorder the terms:
-16 + 3a = 8 + -21 + 4a

Combine like terms: 8 + -21 = -13
-16 + 3a = -13 + 4a

Solving
-16 + 3a = -13 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-16 + 3a + -4a = -13 + 4a + -4a

Combine like terms: 3a + -4a = -1a
-16 + -1a = -13 + 4a + -4a

Combine like terms: 4a + -4a = 0
-16 + -1a = -13 + 0
-16 + -1a = -13

Add '16' to each side of the equation.
-16 + 16 + -1a = -13 + 16

Combine like terms: -16 + 16 = 0
0 + -1a = -13 + 16
-1a = -13 + 16

Combine like terms: -13 + 16 = 3
-1a = 3

Divide each side by '-1'.
a = -3

Simplifying
a = -3

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