7(a-8)+19=5(a-5)

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Solution for 7(a-8)+19=5(a-5) equation:


Simplifying
7(a + -8) + 19 = 5(a + -5)

Reorder the terms:
7(-8 + a) + 19 = 5(a + -5)
(-8 * 7 + a * 7) + 19 = 5(a + -5)
(-56 + 7a) + 19 = 5(a + -5)

Reorder the terms:
-56 + 19 + 7a = 5(a + -5)

Combine like terms: -56 + 19 = -37
-37 + 7a = 5(a + -5)

Reorder the terms:
-37 + 7a = 5(-5 + a)
-37 + 7a = (-5 * 5 + a * 5)
-37 + 7a = (-25 + 5a)

Solving
-37 + 7a = -25 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-37 + 7a + -5a = -25 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-37 + 2a = -25 + 5a + -5a

Combine like terms: 5a + -5a = 0
-37 + 2a = -25 + 0
-37 + 2a = -25

Add '37' to each side of the equation.
-37 + 37 + 2a = -25 + 37

Combine like terms: -37 + 37 = 0
0 + 2a = -25 + 37
2a = -25 + 37

Combine like terms: -25 + 37 = 12
2a = 12

Divide each side by '2'.
a = 6

Simplifying
a = 6

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