4(2a+5)=5a-1

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Solution for 4(2a+5)=5a-1 equation:


Simplifying
4(2a + 5) = 5a + -1

Reorder the terms:
4(5 + 2a) = 5a + -1
(5 * 4 + 2a * 4) = 5a + -1
(20 + 8a) = 5a + -1

Reorder the terms:
20 + 8a = -1 + 5a

Solving
20 + 8a = -1 + 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.
20 + 8a + -5a = -1 + 5a + -5a

Combine like terms: 8a + -5a = 3a
20 + 3a = -1 + 5a + -5a

Combine like terms: 5a + -5a = 0
20 + 3a = -1 + 0
20 + 3a = -1

Add '-20' to each side of the equation.
20 + -20 + 3a = -1 + -20

Combine like terms: 20 + -20 = 0
0 + 3a = -1 + -20
3a = -1 + -20

Combine like terms: -1 + -20 = -21
3a = -21

Divide each side by '3'.
a = -7

Simplifying
a = -7

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