5(a-6)+11=3(a-5)

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Solution for 5(a-6)+11=3(a-5) equation:


Simplifying
5(a + -6) + 11 = 3(a + -5)

Reorder the terms:
5(-6 + a) + 11 = 3(a + -5)
(-6 * 5 + a * 5) + 11 = 3(a + -5)
(-30 + 5a) + 11 = 3(a + -5)

Reorder the terms:
-30 + 11 + 5a = 3(a + -5)

Combine like terms: -30 + 11 = -19
-19 + 5a = 3(a + -5)

Reorder the terms:
-19 + 5a = 3(-5 + a)
-19 + 5a = (-5 * 3 + a * 3)
-19 + 5a = (-15 + 3a)

Solving
-19 + 5a = -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.
-19 + 5a + -3a = -15 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-19 + 2a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
-19 + 2a = -15 + 0
-19 + 2a = -15

Add '19' to each side of the equation.
-19 + 19 + 2a = -15 + 19

Combine like terms: -19 + 19 = 0
0 + 2a = -15 + 19
2a = -15 + 19

Combine like terms: -15 + 19 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2

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