6(a-7)+21=3(a-5)

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Solution for 6(a-7)+21=3(a-5) equation:


Simplifying
6(a + -7) + 21 = 3(a + -5)

Reorder the terms:
6(-7 + a) + 21 = 3(a + -5)
(-7 * 6 + a * 6) + 21 = 3(a + -5)
(-42 + 6a) + 21 = 3(a + -5)

Reorder the terms:
-42 + 21 + 6a = 3(a + -5)

Combine like terms: -42 + 21 = -21
-21 + 6a = 3(a + -5)

Reorder the terms:
-21 + 6a = 3(-5 + a)
-21 + 6a = (-5 * 3 + a * 3)
-21 + 6a = (-15 + 3a)

Solving
-21 + 6a = -15 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-21 + 6a + -3a = -15 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-21 + 3a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
-21 + 3a = -15 + 0
-21 + 3a = -15

Add '21' to each side of the equation.
-21 + 21 + 3a = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 3a = -15 + 21
3a = -15 + 21

Combine like terms: -15 + 21 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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