(7a-1)(a+5)=7a(a+5)-2

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Solution for (7a-1)(a+5)=7a(a+5)-2 equation: 


Simplifying
(7a + -1)(a + 5) = 7a(a + 5) + -2

Reorder the terms:
(-1 + 7a)(a + 5) = 7a(a + 5) + -2

Reorder the terms:
(-1 + 7a)(5 + a) = 7a(a + 5) + -2

Multiply (-1 + 7a) * (5 + a)
(-1(5 + a) + 7a * (5 + a)) = 7a(a + 5) + -2
((5 * -1 + a * -1) + 7a * (5 + a)) = 7a(a + 5) + -2
((-5 + -1a) + 7a * (5 + a)) = 7a(a + 5) + -2
(-5 + -1a + (5 * 7a + a * 7a)) = 7a(a + 5) + -2
(-5 + -1a + (35a + 7a2)) = 7a(a + 5) + -2

Combine like terms: -1a + 35a = 34a
(-5 + 34a + 7a2) = 7a(a + 5) + -2

Reorder the terms:
-5 + 34a + 7a2 = 7a(5 + a) + -2
-5 + 34a + 7a2 = (5 * 7a + a * 7a) + -2
-5 + 34a + 7a2 = (35a + 7a2) + -2

Reorder the terms:
-5 + 34a + 7a2 = -2 + 35a + 7a2

Add '-7a2' to each side of the equation.
-5 + 34a + 7a2 + -7a2 = -2 + 35a + 7a2 + -7a2

Combine like terms: 7a2 + -7a2 = 0
-5 + 34a + 0 = -2 + 35a + 7a2 + -7a2
-5 + 34a = -2 + 35a + 7a2 + -7a2

Combine like terms: 7a2 + -7a2 = 0
-5 + 34a = -2 + 35a + 0
-5 + 34a = -2 + 35a

Solving
-5 + 34a = -2 + 35a

Solving for variable 'a'.

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

Add '-35a' to each side of the equation.
-5 + 34a + -35a = -2 + 35a + -35a

Combine like terms: 34a + -35a = -1a
-5 + -1a = -2 + 35a + -35a

Combine like terms: 35a + -35a = 0
-5 + -1a = -2 + 0
-5 + -1a = -2

Add '5' to each side of the equation.
-5 + 5 + -1a = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -1a = -2 + 5
-1a = -2 + 5

Combine like terms: -2 + 5 = 3
-1a = 3

Divide each side by '-1'.
a = -3

Simplifying
a = -3

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