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

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


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

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

Remove parenthesis around (7 + 5a)
7 + 5a = (6a + -11)

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

Remove parenthesis around (-11 + 6a)
7 + 5a = -11 + 6a

Solving
7 + 5a = -11 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
7 + 5a + -6a = -11 + 6a + -6a

Combine like terms: 5a + -6a = -1a
7 + -1a = -11 + 6a + -6a

Combine like terms: 6a + -6a = 0
7 + -1a = -11 + 0
7 + -1a = -11

Add '-7' to each side of the equation.
7 + -7 + -1a = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = -11 + -7
-1a = -11 + -7

Combine like terms: -11 + -7 = -18
-1a = -18

Divide each side by '-1'.
a = 18

Simplifying
a = 18

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