5(a-7)+11=3(a-6)

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Solution for 5(a-7)+11=3(a-6) equation:


Simplifying
5(a + -7) + 11 = 3(a + -6)

Reorder the terms:
5(-7 + a) + 11 = 3(a + -6)
(-7 * 5 + a * 5) + 11 = 3(a + -6)
(-35 + 5a) + 11 = 3(a + -6)

Reorder the terms:
-35 + 11 + 5a = 3(a + -6)

Combine like terms: -35 + 11 = -24
-24 + 5a = 3(a + -6)

Reorder the terms:
-24 + 5a = 3(-6 + a)
-24 + 5a = (-6 * 3 + a * 3)
-24 + 5a = (-18 + 3a)

Solving
-24 + 5a = -18 + 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.
-24 + 5a + -3a = -18 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-24 + 2a = -18 + 3a + -3a

Combine like terms: 3a + -3a = 0
-24 + 2a = -18 + 0
-24 + 2a = -18

Add '24' to each side of the equation.
-24 + 24 + 2a = -18 + 24

Combine like terms: -24 + 24 = 0
0 + 2a = -18 + 24
2a = -18 + 24

Combine like terms: -18 + 24 = 6
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3

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