6(a-7)+16=4(a-5)

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Solution for 6(a-7)+16=4(a-5) equation:


Simplifying
6(a + -7) + 16 = 4(a + -5)

Reorder the terms:
6(-7 + a) + 16 = 4(a + -5)
(-7 * 6 + a * 6) + 16 = 4(a + -5)
(-42 + 6a) + 16 = 4(a + -5)

Reorder the terms:
-42 + 16 + 6a = 4(a + -5)

Combine like terms: -42 + 16 = -26
-26 + 6a = 4(a + -5)

Reorder the terms:
-26 + 6a = 4(-5 + a)
-26 + 6a = (-5 * 4 + a * 4)
-26 + 6a = (-20 + 4a)

Solving
-26 + 6a = -20 + 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.
-26 + 6a + -4a = -20 + 4a + -4a

Combine like terms: 6a + -4a = 2a
-26 + 2a = -20 + 4a + -4a

Combine like terms: 4a + -4a = 0
-26 + 2a = -20 + 0
-26 + 2a = -20

Add '26' to each side of the equation.
-26 + 26 + 2a = -20 + 26

Combine like terms: -26 + 26 = 0
0 + 2a = -20 + 26
2a = -20 + 26

Combine like terms: -20 + 26 = 6
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3

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