7(3a+4)=11(a-1)+19

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Solution for 7(3a+4)=11(a-1)+19 equation: 


Simplifying
7(3a + 4) = 11(a + -1) + 19

Reorder the terms:
7(4 + 3a) = 11(a + -1) + 19
(4 * 7 + 3a * 7) = 11(a + -1) + 19
(28 + 21a) = 11(a + -1) + 19

Reorder the terms:
28 + 21a = 11(-1 + a) + 19
28 + 21a = (-1 * 11 + a * 11) + 19
28 + 21a = (-11 + 11a) + 19

Reorder the terms:
28 + 21a = -11 + 19 + 11a

Combine like terms: -11 + 19 = 8
28 + 21a = 8 + 11a

Solving
28 + 21a = 8 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
28 + 21a + -11a = 8 + 11a + -11a

Combine like terms: 21a + -11a = 10a
28 + 10a = 8 + 11a + -11a

Combine like terms: 11a + -11a = 0
28 + 10a = 8 + 0
28 + 10a = 8

Add '-28' to each side of the equation.
28 + -28 + 10a = 8 + -28

Combine like terms: 28 + -28 = 0
0 + 10a = 8 + -28
10a = 8 + -28

Combine like terms: 8 + -28 = -20
10a = -20

Divide each side by '10'.
a = -2

Simplifying
a = -2

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