20+8a=3a-5(7a+4)

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Solution for 20+8a=3a-5(7a+4) equation: 


Simplifying
20 + 8a = 3a + -5(7a + 4)

Reorder the terms:
20 + 8a = 3a + -5(4 + 7a)
20 + 8a = 3a + (4 * -5 + 7a * -5)
20 + 8a = 3a + (-20 + -35a)

Reorder the terms:
20 + 8a = -20 + 3a + -35a

Combine like terms: 3a + -35a = -32a
20 + 8a = -20 + -32a

Solving
20 + 8a = -20 + -32a

Solving for variable 'a'.

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

Add '32a' to each side of the equation.
20 + 8a + 32a = -20 + -32a + 32a

Combine like terms: 8a + 32a = 40a
20 + 40a = -20 + -32a + 32a

Combine like terms: -32a + 32a = 0
20 + 40a = -20 + 0
20 + 40a = -20

Add '-20' to each side of the equation.
20 + -20 + 40a = -20 + -20

Combine like terms: 20 + -20 = 0
0 + 40a = -20 + -20
40a = -20 + -20

Combine like terms: -20 + -20 = -40
40a = -40

Divide each side by '40'.
a = -1

Simplifying
a = -1

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