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

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


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

Reorder the terms:
8 + 3(-3 + a) = 4(a + 5)
8 + (-3 * 3 + a * 3) = 4(a + 5)
8 + (-9 + 3a) = 4(a + 5)

Combine like terms: 8 + -9 = -1
-1 + 3a = 4(a + 5)

Reorder the terms:
-1 + 3a = 4(5 + a)
-1 + 3a = (5 * 4 + a * 4)
-1 + 3a = (20 + 4a)

Solving
-1 + 3a = 20 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-1 + 3a + -4a = 20 + 4a + -4a

Combine like terms: 3a + -4a = -1a
-1 + -1a = 20 + 4a + -4a

Combine like terms: 4a + -4a = 0
-1 + -1a = 20 + 0
-1 + -1a = 20

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

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

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

Divide each side by '-1'.
a = -21

Simplifying
a = -21

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